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Finding the Fourth Proportional to 2,322.49, 3,482.64 and 861.52

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Solution

The fourth proportional to 2,322.49, 3,482.64 and 861.52 is: 1,291.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,322.49 : 3,482.64 = 861.52 : x
  2. Step 2: Convert to fraction form
    2,322.49/3,482.64 = 861.52/x
  3. Step 3: Cross multiply
    2,322.49x = 3,482.64 × 861.52
  4. Step 4: Simplify right side
    2,322.49x = 3,000,364.01
  5. Step 5: Solve for x
    x = 3,000,364.01/2,322.49
  6. Step 6: Final answer
    x = 1,291.87

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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.