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Finding the Fourth Proportional to 2,242.80, 3,339.03 and 2,232

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Solution

The fourth proportional to 2,242.80, 3,339.03 and 2,232 is: 3,322.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,242.80 : 3,339.03 = 2,232 : x
  2. Step 2: Convert to fraction form
    2,242.80/3,339.03 = 2,232/x
  3. Step 3: Cross multiply
    2,242.80x = 3,339.03 × 2,232
  4. Step 4: Simplify right side
    2,242.80x = 7,452,714.96
  5. Step 5: Solve for x
    x = 7,452,714.96/2,242.80
  6. Step 6: Final answer
    x = 3,322.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.