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Finding the Fourth Proportional to 2,025.92, 3,038.70 and 565.04

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Solution

The fourth proportional to 2,025.92, 3,038.70 and 565.04 is: 847.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,025.92 : 3,038.70 = 565.04 : x
  2. Step 2: Convert to fraction form
    2,025.92/3,038.70 = 565.04/x
  3. Step 3: Cross multiply
    2,025.92x = 3,038.70 × 565.04
  4. Step 4: Simplify right side
    2,025.92x = 1,716,987.05
  5. Step 5: Solve for x
    x = 1,716,987.05/2,025.92
  6. Step 6: Final answer
    x = 847.51

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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.