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Finding the Fourth Proportional to 1,248.21, 1,872.30 and 974.53

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Solution

The fourth proportional to 1,248.21, 1,872.30 and 974.53 is: 1,461.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,248.21 : 1,872.30 = 974.53 : x
  2. Step 2: Convert to fraction form
    1,248.21/1,872.30 = 974.53/x
  3. Step 3: Cross multiply
    1,248.21x = 1,872.30 × 974.53
  4. Step 4: Simplify right side
    1,248.21x = 1,824,607.84
  5. Step 5: Solve for x
    x = 1,824,607.84/1,248.21
  6. Step 6: Final answer
    x = 1,461.78

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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.