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Finding the Fourth Proportional to 2,872.25, 4,307.96 and 924.20

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Solution

The fourth proportional to 2,872.25, 4,307.96 and 924.20 is: 1,386.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,872.25 : 4,307.96 = 924.20 : x
  2. Step 2: Convert to fraction form
    2,872.25/4,307.96 = 924.20/x
  3. Step 3: Cross multiply
    2,872.25x = 4,307.96 × 924.20
  4. Step 4: Simplify right side
    2,872.25x = 3,981,397.40
  5. Step 5: Solve for x
    x = 3,981,397.40/2,872.25
  6. Step 6: Final answer
    x = 1,386.16

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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.