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Finding the Fourth Proportional to 3,248.42, 4,484.34 and 2,129.42

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Solution

The fourth proportional to 3,248.42, 4,484.34 and 2,129.42 is: 2,939.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,248.42 : 4,484.34 = 2,129.42 : x
  2. Step 2: Convert to fraction form
    3,248.42/4,484.34 = 2,129.42/x
  3. Step 3: Cross multiply
    3,248.42x = 4,484.34 × 2,129.42
  4. Step 4: Simplify right side
    3,248.42x = 9,549,043.28
  5. Step 5: Solve for x
    x = 9,549,043.28/3,248.42
  6. Step 6: Final answer
    x = 2,939.60

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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.