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Finding the Fourth Proportional to 2,362.71, 3,542.67 and 974.49

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Solution

The fourth proportional to 2,362.71, 3,542.67 and 974.49 is: 1,461.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,362.71 : 3,542.67 = 974.49 : x
  2. Step 2: Convert to fraction form
    2,362.71/3,542.67 = 974.49/x
  3. Step 3: Cross multiply
    2,362.71x = 3,542.67 × 974.49
  4. Step 4: Simplify right side
    2,362.71x = 3,452,296.49
  5. Step 5: Solve for x
    x = 3,452,296.49/2,362.71
  6. Step 6: Final answer
    x = 1,461.16

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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.