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Finding the Fourth Proportional to 2,392.18, 3,292.22 and 2,024

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Solution

The fourth proportional to 2,392.18, 3,292.22 and 2,024 is: 2,785.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,392.18 : 3,292.22 = 2,024 : x
  2. Step 2: Convert to fraction form
    2,392.18/3,292.22 = 2,024/x
  3. Step 3: Cross multiply
    2,392.18x = 3,292.22 × 2,024
  4. Step 4: Simplify right side
    2,392.18x = 6,663,453.28
  5. Step 5: Solve for x
    x = 6,663,453.28/2,392.18
  6. Step 6: Final answer
    x = 2,785.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.