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Finding the Fourth Proportional to 1,557.85, 2,336.88 and 680.38

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Solution

The fourth proportional to 1,557.85, 2,336.88 and 680.38 is: 1,020.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,557.85 : 2,336.88 = 680.38 : x
  2. Step 2: Convert to fraction form
    1,557.85/2,336.88 = 680.38/x
  3. Step 3: Cross multiply
    1,557.85x = 2,336.88 × 680.38
  4. Step 4: Simplify right side
    1,557.85x = 1,589,966.41
  5. Step 5: Solve for x
    x = 1,589,966.41/1,557.85
  6. Step 6: Final answer
    x = 1,020.62

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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.