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Finding the Fourth Proportional to 2,368.02, 3,552.45 and 724.53

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Solution

The fourth proportional to 2,368.02, 3,552.45 and 724.53 is: 1,086.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,368.02 : 3,552.45 = 724.53 : x
  2. Step 2: Convert to fraction form
    2,368.02/3,552.45 = 724.53/x
  3. Step 3: Cross multiply
    2,368.02x = 3,552.45 × 724.53
  4. Step 4: Simplify right side
    2,368.02x = 2,573,856.60
  5. Step 5: Solve for x
    x = 2,573,856.60/2,368.02
  6. Step 6: Final answer
    x = 1,086.92

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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.