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Finding the Fourth Proportional to 1,557.09, 2,336.31 and 735.95

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Solution

The fourth proportional to 1,557.09, 2,336.31 and 735.95 is: 1,104.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,557.09 : 2,336.31 = 735.95 : x
  2. Step 2: Convert to fraction form
    1,557.09/2,336.31 = 735.95/x
  3. Step 3: Cross multiply
    1,557.09x = 2,336.31 × 735.95
  4. Step 4: Simplify right side
    1,557.09x = 1,719,395.66
  5. Step 5: Solve for x
    x = 1,719,395.66/1,557.09
  6. Step 6: Final answer
    x = 1,104.24

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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.