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Finding the Fourth Proportional to 1,454.38, 2,178.56 and 711.76

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Solution

The fourth proportional to 1,454.38, 2,178.56 and 711.76 is: 1,066.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,454.38 : 2,178.56 = 711.76 : x
  2. Step 2: Convert to fraction form
    1,454.38/2,178.56 = 711.76/x
  3. Step 3: Cross multiply
    1,454.38x = 2,178.56 × 711.76
  4. Step 4: Simplify right side
    1,454.38x = 1,550,611.87
  5. Step 5: Solve for x
    x = 1,550,611.87/1,454.38
  6. Step 6: Final answer
    x = 1,066.17

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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.