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Finding the Fourth Proportional to 3,248, 4,482.94 and 2,068.80

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Solution

The fourth proportional to 3,248, 4,482.94 and 2,068.80 is: 2,855.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,248 : 4,482.94 = 2,068.80 : x
  2. Step 2: Convert to fraction form
    3,248/4,482.94 = 2,068.80/x
  3. Step 3: Cross multiply
    3,248x = 4,482.94 × 2,068.80
  4. Step 4: Simplify right side
    3,248x = 9,274,306.27
  5. Step 5: Solve for x
    x = 9,274,306.27/3,248
  6. Step 6: Final answer
    x = 2,855.39

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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.