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Finding the Fourth Proportional to 1,566.88, 2,350.60 and 942.71

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Solution

The fourth proportional to 1,566.88, 2,350.60 and 942.71 is: 1,414.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566.88 : 2,350.60 = 942.71 : x
  2. Step 2: Convert to fraction form
    1,566.88/2,350.60 = 942.71/x
  3. Step 3: Cross multiply
    1,566.88x = 2,350.60 × 942.71
  4. Step 4: Simplify right side
    1,566.88x = 2,215,925.32
  5. Step 5: Solve for x
    x = 2,215,925.32/1,566.88
  6. Step 6: Final answer
    x = 1,414.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.