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Finding the Fourth Proportional to 1,656.05, 2,483.20 and 731.17

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Solution

The fourth proportional to 1,656.05, 2,483.20 and 731.17 is: 1,096.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,656.05 : 2,483.20 = 731.17 : x
  2. Step 2: Convert to fraction form
    1,656.05/2,483.20 = 731.17/x
  3. Step 3: Cross multiply
    1,656.05x = 2,483.20 × 731.17
  4. Step 4: Simplify right side
    1,656.05x = 1,815,642.90
  5. Step 5: Solve for x
    x = 1,815,642.90/1,656.05
  6. Step 6: Final answer
    x = 1,096.37

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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.