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Finding the Fourth Proportional to 2,574.73, 3,862.26 and 931.29

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Solution

The fourth proportional to 2,574.73, 3,862.26 and 931.29 is: 1,396.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,574.73 : 3,862.26 = 931.29 : x
  2. Step 2: Convert to fraction form
    2,574.73/3,862.26 = 931.29/x
  3. Step 3: Cross multiply
    2,574.73x = 3,862.26 × 931.29
  4. Step 4: Simplify right side
    2,574.73x = 3,596,884.12
  5. Step 5: Solve for x
    x = 3,596,884.12/2,574.73
  6. Step 6: Final answer
    x = 1,396.99

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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.