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Finding the Fourth Proportional to 1,971,843.90, 2,956,599.45 and 1,027,059.90

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Solution

The fourth proportional to 1,971,843.90, 2,956,599.45 and 1,027,059.90 is: 1,539,982.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,971,843.90 : 2,956,599.45 = 1,027,059.90 : x
  2. Step 2: Convert to fraction form
    1,971,843.90/2,956,599.45 = 1,027,059.90/x
  3. Step 3: Cross multiply
    1,971,843.90x = 2,956,599.45 × 1,027,059.90
  4. Step 4: Simplify right side
    1,971,843.90x = 3,036,604,735,457.06
  5. Step 5: Solve for x
    x = 3,036,604,735,457.06/1,971,843.90
  6. Step 6: Final answer
    x = 1,539,982.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.