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Finding the Fourth Proportional to 1,916.32, 2,872.65 and 616.88

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Solution

The fourth proportional to 1,916.32, 2,872.65 and 616.88 is: 924.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,916.32 : 2,872.65 = 616.88 : x
  2. Step 2: Convert to fraction form
    1,916.32/2,872.65 = 616.88/x
  3. Step 3: Cross multiply
    1,916.32x = 2,872.65 × 616.88
  4. Step 4: Simplify right side
    1,916.32x = 1,772,065.97
  5. Step 5: Solve for x
    x = 1,772,065.97/1,916.32
  6. Step 6: Final answer
    x = 924.72

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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.