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Finding the Fourth Proportional to 1,660.10, 2,488.27 and 735.53

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Solution

The fourth proportional to 1,660.10, 2,488.27 and 735.53 is: 1,102.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,660.10 : 2,488.27 = 735.53 : x
  2. Step 2: Convert to fraction form
    1,660.10/2,488.27 = 735.53/x
  3. Step 3: Cross multiply
    1,660.10x = 2,488.27 × 735.53
  4. Step 4: Simplify right side
    1,660.10x = 1,830,198.33
  5. Step 5: Solve for x
    x = 1,830,198.33/1,660.10
  6. Step 6: Final answer
    x = 1,102.47

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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.