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Finding the Fourth Proportional to 2,538.32, 3,502.80 and 1,434.32

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Solution

The fourth proportional to 2,538.32, 3,502.80 and 1,434.32 is: 1,979.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,538.32 : 3,502.80 = 1,434.32 : x
  2. Step 2: Convert to fraction form
    2,538.32/3,502.80 = 1,434.32/x
  3. Step 3: Cross multiply
    2,538.32x = 3,502.80 × 1,434.32
  4. Step 4: Simplify right side
    2,538.32x = 5,024,136.10
  5. Step 5: Solve for x
    x = 5,024,136.10/2,538.32
  6. Step 6: Final answer
    x = 1,979.32

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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.