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Finding the Fourth Proportional to 2,574.74, 3,859.48 and 1,014.12

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Solution

The fourth proportional to 2,574.74, 3,859.48 and 1,014.12 is: 1,520.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,574.74 : 3,859.48 = 1,014.12 : x
  2. Step 2: Convert to fraction form
    2,574.74/3,859.48 = 1,014.12/x
  3. Step 3: Cross multiply
    2,574.74x = 3,859.48 × 1,014.12
  4. Step 4: Simplify right side
    2,574.74x = 3,913,975.86
  5. Step 5: Solve for x
    x = 3,913,975.86/2,574.74
  6. Step 6: Final answer
    x = 1,520.14

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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.