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Finding the Fourth Proportional to 2,617.81, 3,926.96 and 974.11

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Solution

The fourth proportional to 2,617.81, 3,926.96 and 974.11 is: 1,461.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,617.81 : 3,926.96 = 974.11 : x
  2. Step 2: Convert to fraction form
    2,617.81/3,926.96 = 974.11/x
  3. Step 3: Cross multiply
    2,617.81x = 3,926.96 × 974.11
  4. Step 4: Simplify right side
    2,617.81x = 3,825,291.01
  5. Step 5: Solve for x
    x = 3,825,291.01/2,617.81
  6. Step 6: Final answer
    x = 1,461.26

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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.