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Finding the Fourth Proportional to 1,948.36, 2,922.54 and 649.92

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Solution

The fourth proportional to 1,948.36, 2,922.54 and 649.92 is: 974.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,948.36 : 2,922.54 = 649.92 : x
  2. Step 2: Convert to fraction form
    1,948.36/2,922.54 = 649.92/x
  3. Step 3: Cross multiply
    1,948.36x = 2,922.54 × 649.92
  4. Step 4: Simplify right side
    1,948.36x = 1,899,417.20
  5. Step 5: Solve for x
    x = 1,899,417.20/1,948.36
  6. Step 6: Final answer
    x = 974.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.