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Finding the Fourth Proportional to 1,494.80, 2,232.64 and 1,353.87

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Solution

The fourth proportional to 1,494.80, 2,232.64 and 1,353.87 is: 2,022.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,494.80 : 2,232.64 = 1,353.87 : x
  2. Step 2: Convert to fraction form
    1,494.80/2,232.64 = 1,353.87/x
  3. Step 3: Cross multiply
    1,494.80x = 2,232.64 × 1,353.87
  4. Step 4: Simplify right side
    1,494.80x = 3,022,697.55
  5. Step 5: Solve for x
    x = 3,022,697.55/1,494.80
  6. Step 6: Final answer
    x = 2,022.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.