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Finding the Fourth Proportional to 2,322.50, 3,483.14 and 860.85

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Solution

The fourth proportional to 2,322.50, 3,483.14 and 860.85 is: 1,291.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,322.50 : 3,483.14 = 860.85 : x
  2. Step 2: Convert to fraction form
    2,322.50/3,483.14 = 860.85/x
  3. Step 3: Cross multiply
    2,322.50x = 3,483.14 × 860.85
  4. Step 4: Simplify right side
    2,322.50x = 2,998,456.76
  5. Step 5: Solve for x
    x = 2,998,456.76/2,322.50
  6. Step 6: Final answer
    x = 1,291.05

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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.