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Finding the Fourth Proportional to 2,024.16, 3,036.16 and 656.16

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Solution

The fourth proportional to 2,024.16, 3,036.16 and 656.16 is: 984.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,024.16 : 3,036.16 = 656.16 : x
  2. Step 2: Convert to fraction form
    2,024.16/3,036.16 = 656.16/x
  3. Step 3: Cross multiply
    2,024.16x = 3,036.16 × 656.16
  4. Step 4: Simplify right side
    2,024.16x = 1,992,206.75
  5. Step 5: Solve for x
    x = 1,992,206.75/2,024.16
  6. Step 6: Final answer
    x = 984.21

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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.