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Finding the Fourth Proportional to 2,294.47, 3,441.19 and 650.58

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Solution

The fourth proportional to 2,294.47, 3,441.19 and 650.58 is: 975.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,294.47 : 3,441.19 = 650.58 : x
  2. Step 2: Convert to fraction form
    2,294.47/3,441.19 = 650.58/x
  3. Step 3: Cross multiply
    2,294.47x = 3,441.19 × 650.58
  4. Step 4: Simplify right side
    2,294.47x = 2,238,769.39
  5. Step 5: Solve for x
    x = 2,238,769.39/2,294.47
  6. Step 6: Final answer
    x = 975.72

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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.