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Finding the Fourth Proportional to 2,292.01, 3,429.80 and 1,984.92

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Solution

The fourth proportional to 2,292.01, 3,429.80 and 1,984.92 is: 2,970.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,292.01 : 3,429.80 = 1,984.92 : x
  2. Step 2: Convert to fraction form
    2,292.01/3,429.80 = 1,984.92/x
  3. Step 3: Cross multiply
    2,292.01x = 3,429.80 × 1,984.92
  4. Step 4: Simplify right side
    2,292.01x = 6,807,878.62
  5. Step 5: Solve for x
    x = 6,807,878.62/2,292.01
  6. Step 6: Final answer
    x = 2,970.27

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