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Finding the Fourth Proportional to 2,159, 3,237.82 and 1,432.42

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Solution

The fourth proportional to 2,159, 3,237.82 and 1,432.42 is: 2,148.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,159 : 3,237.82 = 1,432.42 : x
  2. Step 2: Convert to fraction form
    2,159/3,237.82 = 1,432.42/x
  3. Step 3: Cross multiply
    2,159x = 3,237.82 × 1,432.42
  4. Step 4: Simplify right side
    2,159x = 4,637,918.12
  5. Step 5: Solve for x
    x = 4,637,918.12/2,159
  6. Step 6: Final answer
    x = 2,148.18

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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.