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Finding the Fourth Proportional to 1,494.56, 2,060.16 and 1,232.16

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Solution

The fourth proportional to 1,494.56, 2,060.16 and 1,232.16 is: 1,698.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,494.56 : 2,060.16 = 1,232.16 : x
  2. Step 2: Convert to fraction form
    1,494.56/2,060.16 = 1,232.16/x
  3. Step 3: Cross multiply
    1,494.56x = 2,060.16 × 1,232.16
  4. Step 4: Simplify right side
    1,494.56x = 2,538,446.75
  5. Step 5: Solve for x
    x = 2,538,446.75/1,494.56
  6. Step 6: Final answer
    x = 1,698.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.