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Finding the Fourth Proportional to 2,024.29, 3,036.29 and 725.80

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Solution

The fourth proportional to 2,024.29, 3,036.29 and 725.80 is: 1,088.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,024.29 : 3,036.29 = 725.80 : x
  2. Step 2: Convert to fraction form
    2,024.29/3,036.29 = 725.80/x
  3. Step 3: Cross multiply
    2,024.29x = 3,036.29 × 725.80
  4. Step 4: Simplify right side
    2,024.29x = 2,203,724.10
  5. Step 5: Solve for x
    x = 2,203,724.10/2,024.29
  6. Step 6: Final answer
    x = 1,088.64

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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.