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Finding the Fourth Proportional to 1,248.02, 1,875.45 and 1,166.75

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Solution

The fourth proportional to 1,248.02, 1,875.45 and 1,166.75 is: 1,753.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,248.02 : 1,875.45 = 1,166.75 : x
  2. Step 2: Convert to fraction form
    1,248.02/1,875.45 = 1,166.75/x
  3. Step 3: Cross multiply
    1,248.02x = 1,875.45 × 1,166.75
  4. Step 4: Simplify right side
    1,248.02x = 2,188,181.29
  5. Step 5: Solve for x
    x = 2,188,181.29/1,248.02
  6. Step 6: Final answer
    x = 1,753.32

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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.