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Finding the Fourth Proportional to 2,293.47, 3,439.69 and 649.58

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Solution

The fourth proportional to 2,293.47, 3,439.69 and 649.58 is: 974.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,293.47 : 3,439.69 = 649.58 : x
  2. Step 2: Convert to fraction form
    2,293.47/3,439.69 = 649.58/x
  3. Step 3: Cross multiply
    2,293.47x = 3,439.69 × 649.58
  4. Step 4: Simplify right side
    2,293.47x = 2,234,335.01
  5. Step 5: Solve for x
    x = 2,234,335.01/2,293.47
  6. Step 6: Final answer
    x = 974.22

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1.5x scale

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.