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Finding the Fourth Proportional to 2,059.45, 2,842.04 and 1,115.24

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Solution

The fourth proportional to 2,059.45, 2,842.04 and 1,115.24 is: 1,539.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,059.45 : 2,842.04 = 1,115.24 : x
  2. Step 2: Convert to fraction form
    2,059.45/2,842.04 = 1,115.24/x
  3. Step 3: Cross multiply
    2,059.45x = 2,842.04 × 1,115.24
  4. Step 4: Simplify right side
    2,059.45x = 3,169,551.11
  5. Step 5: Solve for x
    x = 3,169,551.11/2,059.45
  6. Step 6: Final answer
    x = 1,539.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.