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Finding the Fourth Proportional to 1,493.78, 2,240.67 and 616.78

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Solution

The fourth proportional to 1,493.78, 2,240.67 and 616.78 is: 925.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,493.78 : 2,240.67 = 616.78 : x
  2. Step 2: Convert to fraction form
    1,493.78/2,240.67 = 616.78/x
  3. Step 3: Cross multiply
    1,493.78x = 2,240.67 × 616.78
  4. Step 4: Simplify right side
    1,493.78x = 1,381,994.84
  5. Step 5: Solve for x
    x = 1,381,994.84/1,493.78
  6. Step 6: Final answer
    x = 925.16

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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.