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Finding the Fourth Proportional to 2,864.01, 4,296.42 and 915.78

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Solution

The fourth proportional to 2,864.01, 4,296.42 and 915.78 is: 1,373.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,864.01 : 4,296.42 = 915.78 : x
  2. Step 2: Convert to fraction form
    2,864.01/4,296.42 = 915.78/x
  3. Step 3: Cross multiply
    2,864.01x = 4,296.42 × 915.78
  4. Step 4: Simplify right side
    2,864.01x = 3,934,575.51
  5. Step 5: Solve for x
    x = 3,934,575.51/2,864.01
  6. Step 6: Final answer
    x = 1,373.80

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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.