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Finding the Fourth Proportional to 1,717.76, 2,372.44 and 1,160.53

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Solution

The fourth proportional to 1,717.76, 2,372.44 and 1,160.53 is: 1,602.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,717.76 : 2,372.44 = 1,160.53 : x
  2. Step 2: Convert to fraction form
    1,717.76/2,372.44 = 1,160.53/x
  3. Step 3: Cross multiply
    1,717.76x = 2,372.44 × 1,160.53
  4. Step 4: Simplify right side
    1,717.76x = 2,753,281.14
  5. Step 5: Solve for x
    x = 2,753,281.14/1,717.76
  6. Step 6: Final answer
    x = 1,602.84

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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.