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Finding the Fourth Proportional to 2,306.63, 3,459.92 and 575.25

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Solution

The fourth proportional to 2,306.63, 3,459.92 and 575.25 is: 862.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,306.63 : 3,459.92 = 575.25 : x
  2. Step 2: Convert to fraction form
    2,306.63/3,459.92 = 575.25/x
  3. Step 3: Cross multiply
    2,306.63x = 3,459.92 × 575.25
  4. Step 4: Simplify right side
    2,306.63x = 1,990,316.10
  5. Step 5: Solve for x
    x = 1,990,316.10/2,306.63
  6. Step 6: Final answer
    x = 862.87

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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.