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Finding the Fourth Proportional to 2,423.52, 3,635.67 and 1,036.89

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Solution

The fourth proportional to 2,423.52, 3,635.67 and 1,036.89 is: 1,555.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,423.52 : 3,635.67 = 1,036.89 : x
  2. Step 2: Convert to fraction form
    2,423.52/3,635.67 = 1,036.89/x
  3. Step 3: Cross multiply
    2,423.52x = 3,635.67 × 1,036.89
  4. Step 4: Simplify right side
    2,423.52x = 3,769,789.87
  5. Step 5: Solve for x
    x = 3,769,789.87/2,423.52
  6. Step 6: Final answer
    x = 1,555.50

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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.