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Finding the Fourth Proportional to 2,864.15, 4,296.54 and 915.89

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Solution

The fourth proportional to 2,864.15, 4,296.54 and 915.89 is: 1,373.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,864.15 : 4,296.54 = 915.89 : x
  2. Step 2: Convert to fraction form
    2,864.15/4,296.54 = 915.89/x
  3. Step 3: Cross multiply
    2,864.15x = 4,296.54 × 915.89
  4. Step 4: Simplify right side
    2,864.15x = 3,935,158.02
  5. Step 5: Solve for x
    x = 3,935,158.02/2,864.15
  6. Step 6: Final answer
    x = 1,373.94

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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.