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Finding the Fourth Proportional to 2,574.68, 3,862.79 and 1,014.90

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Solution

The fourth proportional to 2,574.68, 3,862.79 and 1,014.90 is: 1,522.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,574.68 : 3,862.79 = 1,014.90 : x
  2. Step 2: Convert to fraction form
    2,574.68/3,862.79 = 1,014.90/x
  3. Step 3: Cross multiply
    2,574.68x = 3,862.79 × 1,014.90
  4. Step 4: Simplify right side
    2,574.68x = 3,920,362.41
  5. Step 5: Solve for x
    x = 3,920,362.41/2,574.68
  6. Step 6: Final answer
    x = 1,522.66

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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.