Home / 1,654.49-2,282.85-981.98

Finding the Fourth Proportional to 1,654.49, 2,282.85 and 981.98

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Solution

The fourth proportional to 1,654.49, 2,282.85 and 981.98 is: 1,354.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,654.49 : 2,282.85 = 981.98 : x
  2. Step 2: Convert to fraction form
    1,654.49/2,282.85 = 981.98/x
  3. Step 3: Cross multiply
    1,654.49x = 2,282.85 × 981.98
  4. Step 4: Simplify right side
    1,654.49x = 2,241,713.04
  5. Step 5: Solve for x
    x = 2,241,713.04/1,654.49
  6. Step 6: Final answer
    x = 1,354.93

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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.