Home / 1,470.24-2,207.28-923.04

Finding the Fourth Proportional to 1,470.24, 2,207.28 and 923.04

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Solution

The fourth proportional to 1,470.24, 2,207.28 and 923.04 is: 1,385.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,470.24 : 2,207.28 = 923.04 : x
  2. Step 2: Convert to fraction form
    1,470.24/2,207.28 = 923.04/x
  3. Step 3: Cross multiply
    1,470.24x = 2,207.28 × 923.04
  4. Step 4: Simplify right side
    1,470.24x = 2,037,407.73
  5. Step 5: Solve for x
    x = 2,037,407.73/1,470.24
  6. Step 6: Final answer
    x = 1,385.77

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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.