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Finding the Fourth Proportional to 2,423.11, 3,635.48 and 961.46

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Solution

The fourth proportional to 2,423.11, 3,635.48 and 961.46 is: 1,442.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,423.11 : 3,635.48 = 961.46 : x
  2. Step 2: Convert to fraction form
    2,423.11/3,635.48 = 961.46/x
  3. Step 3: Cross multiply
    2,423.11x = 3,635.48 × 961.46
  4. Step 4: Simplify right side
    2,423.11x = 3,495,368.60
  5. Step 5: Solve for x
    x = 3,495,368.60/2,423.11
  6. Step 6: Final answer
    x = 1,442.51

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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.