Home / 1,523.18-2,280.26-1,002.18

Finding the Fourth Proportional to 1,523.18, 2,280.26 and 1,002.18

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Solution

The fourth proportional to 1,523.18, 2,280.26 and 1,002.18 is: 1,500.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523.18 : 2,280.26 = 1,002.18 : x
  2. Step 2: Convert to fraction form
    1,523.18/2,280.26 = 1,002.18/x
  3. Step 3: Cross multiply
    1,523.18x = 2,280.26 × 1,002.18
  4. Step 4: Simplify right side
    1,523.18x = 2,285,230.97
  5. Step 5: Solve for x
    x = 2,285,230.97/1,523.18
  6. Step 6: Final answer
    x = 1,500.30

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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.