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Finding the Fourth Proportional to 1,458.92, 2,012.10 and 935.66

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Solution

The fourth proportional to 1,458.92, 2,012.10 and 935.66 is: 1,290.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,458.92 : 2,012.10 = 935.66 : x
  2. Step 2: Convert to fraction form
    1,458.92/2,012.10 = 935.66/x
  3. Step 3: Cross multiply
    1,458.92x = 2,012.10 × 935.66
  4. Step 4: Simplify right side
    1,458.92x = 1,882,641.49
  5. Step 5: Solve for x
    x = 1,882,641.49/1,458.92
  6. Step 6: Final answer
    x = 1,290.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.