Home / 1,546.39-2,316.49-929.76

Finding the Fourth Proportional to 1,546.39, 2,316.49 and 929.76

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Solution

The fourth proportional to 1,546.39, 2,316.49 and 929.76 is: 1,392.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,546.39 : 2,316.49 = 929.76 : x
  2. Step 2: Convert to fraction form
    1,546.39/2,316.49 = 929.76/x
  3. Step 3: Cross multiply
    1,546.39x = 2,316.49 × 929.76
  4. Step 4: Simplify right side
    1,546.39x = 2,153,773.96
  5. Step 5: Solve for x
    x = 2,153,773.96/1,546.39
  6. Step 6: Final answer
    x = 1,392.78

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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.