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Finding the Fourth Proportional to 1,557.60, 2,333.97 and 735.72

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Solution

The fourth proportional to 1,557.60, 2,333.97 and 735.72 is: 1,102.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,557.60 : 2,333.97 = 735.72 : x
  2. Step 2: Convert to fraction form
    1,557.60/2,333.97 = 735.72/x
  3. Step 3: Cross multiply
    1,557.60x = 2,333.97 × 735.72
  4. Step 4: Simplify right side
    1,557.60x = 1,717,148.41
  5. Step 5: Solve for x
    x = 1,717,148.41/1,557.60
  6. Step 6: Final answer
    x = 1,102.43

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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.