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Finding the Fourth Proportional to 1,463.72, 2,197.06 and 1,142.60

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Solution

The fourth proportional to 1,463.72, 2,197.06 and 1,142.60 is: 1,715.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,463.72 : 2,197.06 = 1,142.60 : x
  2. Step 2: Convert to fraction form
    1,463.72/2,197.06 = 1,142.60/x
  3. Step 3: Cross multiply
    1,463.72x = 2,197.06 × 1,142.60
  4. Step 4: Simplify right side
    1,463.72x = 2,510,360.76
  5. Step 5: Solve for x
    x = 2,510,360.76/1,463.72
  6. Step 6: Final answer
    x = 1,715.06

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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.