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Finding the Fourth Proportional to 2,354.64, 3,532.40 and 794.52

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Solution

The fourth proportional to 2,354.64, 3,532.40 and 794.52 is: 1,191.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,354.64 : 3,532.40 = 794.52 : x
  2. Step 2: Convert to fraction form
    2,354.64/3,532.40 = 794.52/x
  3. Step 3: Cross multiply
    2,354.64x = 3,532.40 × 794.52
  4. Step 4: Simplify right side
    2,354.64x = 2,806,562.45
  5. Step 5: Solve for x
    x = 2,806,562.45/2,354.64
  6. Step 6: Final answer
    x = 1,191.93

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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.