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Finding the Fourth Proportional to 1,968.30, 2,952.45 and 487.53

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Solution

The fourth proportional to 1,968.30, 2,952.45 and 487.53 is: 731.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,968.30 : 2,952.45 = 487.53 : x
  2. Step 2: Convert to fraction form
    1,968.30/2,952.45 = 487.53/x
  3. Step 3: Cross multiply
    1,968.30x = 2,952.45 × 487.53
  4. Step 4: Simplify right side
    1,968.30x = 1,439,407.95
  5. Step 5: Solve for x
    x = 1,439,407.95/1,968.30
  6. Step 6: Final answer
    x = 731.30

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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.