Home / 1,577.76-2,366.22-928.96

Finding the Fourth Proportional to 1,577.76, 2,366.22 and 928.96

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Solution

The fourth proportional to 1,577.76, 2,366.22 and 928.96 is: 1,393.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577.76 : 2,366.22 = 928.96 : x
  2. Step 2: Convert to fraction form
    1,577.76/2,366.22 = 928.96/x
  3. Step 3: Cross multiply
    1,577.76x = 2,366.22 × 928.96
  4. Step 4: Simplify right side
    1,577.76x = 2,198,123.73
  5. Step 5: Solve for x
    x = 2,198,123.73/1,577.76
  6. Step 6: Final answer
    x = 1,393.19

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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.