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Finding the Fourth Proportional to 2,259.30, 3,388.96 and 615.90

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Solution

The fourth proportional to 2,259.30, 3,388.96 and 615.90 is: 923.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,259.30 : 3,388.96 = 615.90 : x
  2. Step 2: Convert to fraction form
    2,259.30/3,388.96 = 615.90/x
  3. Step 3: Cross multiply
    2,259.30x = 3,388.96 × 615.90
  4. Step 4: Simplify right side
    2,259.30x = 2,087,260.46
  5. Step 5: Solve for x
    x = 2,087,260.46/2,259.30
  6. Step 6: Final answer
    x = 923.85

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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.