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Finding the Fourth Proportional to 2,332, 3,482.72 and 2,205.76

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Solution

The fourth proportional to 2,332, 3,482.72 and 2,205.76 is: 3,294.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,332 : 3,482.72 = 2,205.76 : x
  2. Step 2: Convert to fraction form
    2,332/3,482.72 = 2,205.76/x
  3. Step 3: Cross multiply
    2,332x = 3,482.72 × 2,205.76
  4. Step 4: Simplify right side
    2,332x = 7,682,044.47
  5. Step 5: Solve for x
    x = 7,682,044.47/2,332
  6. Step 6: Final answer
    x = 3,294.19

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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.