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Finding the Fourth Proportional to 2,259.38, 3,389.06 and 615.92

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Solution

The fourth proportional to 2,259.38, 3,389.06 and 615.92 is: 923.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,259.38 : 3,389.06 = 615.92 : x
  2. Step 2: Convert to fraction form
    2,259.38/3,389.06 = 615.92/x
  3. Step 3: Cross multiply
    2,259.38x = 3,389.06 × 615.92
  4. Step 4: Simplify right side
    2,259.38x = 2,087,384.83
  5. Step 5: Solve for x
    x = 2,087,384.83/2,259.38
  6. Step 6: Final answer
    x = 923.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.