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Finding the Fourth Proportional to 1,748.73, 2,417.10 and 1,537.32

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Solution

The fourth proportional to 1,748.73, 2,417.10 and 1,537.32 is: 2,124.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,748.73 : 2,417.10 = 1,537.32 : x
  2. Step 2: Convert to fraction form
    1,748.73/2,417.10 = 1,537.32/x
  3. Step 3: Cross multiply
    1,748.73x = 2,417.10 × 1,537.32
  4. Step 4: Simplify right side
    1,748.73x = 3,715,856.17
  5. Step 5: Solve for x
    x = 3,715,856.17/1,748.73
  6. Step 6: Final answer
    x = 2,124.89

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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.