Home / 2,024.16-3,033.72-724.20

Finding the Fourth Proportional to 2,024.16, 3,033.72 and 724.20

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Solution

The fourth proportional to 2,024.16, 3,033.72 and 724.20 is: 1,085.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,024.16 : 3,033.72 = 724.20 : x
  2. Step 2: Convert to fraction form
    2,024.16/3,033.72 = 724.20/x
  3. Step 3: Cross multiply
    2,024.16x = 3,033.72 × 724.20
  4. Step 4: Simplify right side
    2,024.16x = 2,197,020.02
  5. Step 5: Solve for x
    x = 2,197,020.02/2,024.16
  6. Step 6: Final answer
    x = 1,085.40

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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.