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Finding the Fourth Proportional to 1,493.91, 2,061.06 and 934.17

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Solution

The fourth proportional to 1,493.91, 2,061.06 and 934.17 is: 1,288.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,493.91 : 2,061.06 = 934.17 : x
  2. Step 2: Convert to fraction form
    1,493.91/2,061.06 = 934.17/x
  3. Step 3: Cross multiply
    1,493.91x = 2,061.06 × 934.17
  4. Step 4: Simplify right side
    1,493.91x = 1,925,380.42
  5. Step 5: Solve for x
    x = 1,925,380.42/1,493.91
  6. Step 6: Final answer
    x = 1,288.82

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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.