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Finding the Fourth Proportional to 3,482.90, 4,808.25 and 2,369.78

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Solution

The fourth proportional to 3,482.90, 4,808.25 and 2,369.78 is: 3,271.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,482.90 : 4,808.25 = 2,369.78 : x
  2. Step 2: Convert to fraction form
    3,482.90/4,808.25 = 2,369.78/x
  3. Step 3: Cross multiply
    3,482.90x = 4,808.25 × 2,369.78
  4. Step 4: Simplify right side
    3,482.90x = 11,394,494.69
  5. Step 5: Solve for x
    x = 11,394,494.69/3,482.90
  6. Step 6: Final answer
    x = 3,271.55

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