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Finding the Fourth Proportional to 1,377.46, 1,900.56 and 935.20

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Solution

The fourth proportional to 1,377.46, 1,900.56 and 935.20 is: 1,290.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,377.46 : 1,900.56 = 935.20 : x
  2. Step 2: Convert to fraction form
    1,377.46/1,900.56 = 935.20/x
  3. Step 3: Cross multiply
    1,377.46x = 1,900.56 × 935.20
  4. Step 4: Simplify right side
    1,377.46x = 1,777,403.71
  5. Step 5: Solve for x
    x = 1,777,403.71/1,377.46
  6. Step 6: Final answer
    x = 1,290.35

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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.