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Finding the Fourth Proportional to 2,497.48, 3,445.14 and 1,752.55

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Solution

The fourth proportional to 2,497.48, 3,445.14 and 1,752.55 is: 2,417.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,497.48 : 3,445.14 = 1,752.55 : x
  2. Step 2: Convert to fraction form
    2,497.48/3,445.14 = 1,752.55/x
  3. Step 3: Cross multiply
    2,497.48x = 3,445.14 × 1,752.55
  4. Step 4: Simplify right side
    2,497.48x = 6,037,780.11
  5. Step 5: Solve for x
    x = 6,037,780.11/2,497.48
  6. Step 6: Final answer
    x = 2,417.55

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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.