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Finding the Fourth Proportional to 1,948.32, 2,922.48 and 974.88

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Solution

The fourth proportional to 1,948.32, 2,922.48 and 974.88 is: 1,462.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,948.32 : 2,922.48 = 974.88 : x
  2. Step 2: Convert to fraction form
    1,948.32/2,922.48 = 974.88/x
  3. Step 3: Cross multiply
    1,948.32x = 2,922.48 × 974.88
  4. Step 4: Simplify right side
    1,948.32x = 2,849,067.30
  5. Step 5: Solve for x
    x = 2,849,067.30/1,948.32
  6. Step 6: Final answer
    x = 1,462.32

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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.