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Finding the Fourth Proportional to 2,288.47, 3,430.57 and 827.28

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Solution

The fourth proportional to 2,288.47, 3,430.57 and 827.28 is: 1,240.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,288.47 : 3,430.57 = 827.28 : x
  2. Step 2: Convert to fraction form
    2,288.47/3,430.57 = 827.28/x
  3. Step 3: Cross multiply
    2,288.47x = 3,430.57 × 827.28
  4. Step 4: Simplify right side
    2,288.47x = 2,838,041.43
  5. Step 5: Solve for x
    x = 2,838,041.43/2,288.47
  6. Step 6: Final answer
    x = 1,240.15

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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.