Home / 1,654.32-2,283.82-1,280.46

Finding the Fourth Proportional to 1,654.32, 2,283.82 and 1,280.46

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Solution

The fourth proportional to 1,654.32, 2,283.82 and 1,280.46 is: 1,767.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,654.32 : 2,283.82 = 1,280.46 : x
  2. Step 2: Convert to fraction form
    1,654.32/2,283.82 = 1,280.46/x
  3. Step 3: Cross multiply
    1,654.32x = 2,283.82 × 1,280.46
  4. Step 4: Simplify right side
    1,654.32x = 2,924,340.16
  5. Step 5: Solve for x
    x = 2,924,340.16/1,654.32
  6. Step 6: Final answer
    x = 1,767.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.