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Finding the Fourth Proportional to 2,434.50, 3,652.41 and 974.69

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Solution

The fourth proportional to 2,434.50, 3,652.41 and 974.69 is: 1,462.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,434.50 : 3,652.41 = 974.69 : x
  2. Step 2: Convert to fraction form
    2,434.50/3,652.41 = 974.69/x
  3. Step 3: Cross multiply
    2,434.50x = 3,652.41 × 974.69
  4. Step 4: Simplify right side
    2,434.50x = 3,559,949.24
  5. Step 5: Solve for x
    x = 3,559,949.24/2,434.50
  6. Step 6: Final answer
    x = 1,462.29

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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.