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Finding the Fourth Proportional to 2,059.78, 2,842.47 and 1,128.30

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Solution

The fourth proportional to 2,059.78, 2,842.47 and 1,128.30 is: 1,557.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,059.78 : 2,842.47 = 1,128.30 : x
  2. Step 2: Convert to fraction form
    2,059.78/2,842.47 = 1,128.30/x
  3. Step 3: Cross multiply
    2,059.78x = 2,842.47 × 1,128.30
  4. Step 4: Simplify right side
    2,059.78x = 3,207,158.90
  5. Step 5: Solve for x
    x = 3,207,158.90/2,059.78
  6. Step 6: Final answer
    x = 1,557.04

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