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Finding the Fourth Proportional to 2,291.72, 3,436.70 and 830.52

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Solution

The fourth proportional to 2,291.72, 3,436.70 and 830.52 is: 1,245.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,291.72 : 3,436.70 = 830.52 : x
  2. Step 2: Convert to fraction form
    2,291.72/3,436.70 = 830.52/x
  3. Step 3: Cross multiply
    2,291.72x = 3,436.70 × 830.52
  4. Step 4: Simplify right side
    2,291.72x = 2,854,248.08
  5. Step 5: Solve for x
    x = 2,854,248.08/2,291.72
  6. Step 6: Final answer
    x = 1,245.46

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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.