Home / 1,545.24-2,316.30-928.20

Finding the Fourth Proportional to 1,545.24, 2,316.30 and 928.20

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Solution

The fourth proportional to 1,545.24, 2,316.30 and 928.20 is: 1,391.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,545.24 : 2,316.30 = 928.20 : x
  2. Step 2: Convert to fraction form
    1,545.24/2,316.30 = 928.20/x
  3. Step 3: Cross multiply
    1,545.24x = 2,316.30 × 928.20
  4. Step 4: Simplify right side
    1,545.24x = 2,149,989.66
  5. Step 5: Solve for x
    x = 2,149,989.66/1,545.24
  6. Step 6: Final answer
    x = 1,391.36

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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.