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Finding the Fourth Proportional to 1,948.60, 2,921.82 and 649.96

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Solution

The fourth proportional to 1,948.60, 2,921.82 and 649.96 is: 974.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,948.60 : 2,921.82 = 649.96 : x
  2. Step 2: Convert to fraction form
    1,948.60/2,921.82 = 649.96/x
  3. Step 3: Cross multiply
    1,948.60x = 2,921.82 × 649.96
  4. Step 4: Simplify right side
    1,948.60x = 1,899,066.13
  5. Step 5: Solve for x
    x = 1,899,066.13/1,948.60
  6. Step 6: Final answer
    x = 974.58

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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.