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Finding the Fourth Proportional to 2,024.32, 3,036.80 and 656

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Solution

The fourth proportional to 2,024.32, 3,036.80 and 656 is: 984.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,024.32 : 3,036.80 = 656 : x
  2. Step 2: Convert to fraction form
    2,024.32/3,036.80 = 656/x
  3. Step 3: Cross multiply
    2,024.32x = 3,036.80 × 656
  4. Step 4: Simplify right side
    2,024.32x = 1,992,140.80
  5. Step 5: Solve for x
    x = 1,992,140.80/2,024.32
  6. Step 6: Final answer
    x = 984.10

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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.