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Finding the Fourth Proportional to 2,752.31, 4,128.53 and 903.58

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Solution

The fourth proportional to 2,752.31, 4,128.53 and 903.58 is: 1,355.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,752.31 : 4,128.53 = 903.58 : x
  2. Step 2: Convert to fraction form
    2,752.31/4,128.53 = 903.58/x
  3. Step 3: Cross multiply
    2,752.31x = 4,128.53 × 903.58
  4. Step 4: Simplify right side
    2,752.31x = 3,730,442.30
  5. Step 5: Solve for x
    x = 3,730,442.30/2,752.31
  6. Step 6: Final answer
    x = 1,355.38

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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.