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Finding the Fourth Proportional to 2,574.85, 3,862.74 and 1,966.12

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Solution

The fourth proportional to 2,574.85, 3,862.74 and 1,966.12 is: 2,949.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,574.85 : 3,862.74 = 1,966.12 : x
  2. Step 2: Convert to fraction form
    2,574.85/3,862.74 = 1,966.12/x
  3. Step 3: Cross multiply
    2,574.85x = 3,862.74 × 1,966.12
  4. Step 4: Simplify right side
    2,574.85x = 7,594,610.37
  5. Step 5: Solve for x
    x = 7,594,610.37/2,574.85
  6. Step 6: Final answer
    x = 2,949.54

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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.