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Finding the Fourth Proportional to 3,454.95, 4,767.82 and 1,962.80

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Solution

The fourth proportional to 3,454.95, 4,767.82 and 1,962.80 is: 2,708.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,454.95 : 4,767.82 = 1,962.80 : x
  2. Step 2: Convert to fraction form
    3,454.95/4,767.82 = 1,962.80/x
  3. Step 3: Cross multiply
    3,454.95x = 4,767.82 × 1,962.80
  4. Step 4: Simplify right side
    3,454.95x = 9,358,277.10
  5. Step 5: Solve for x
    x = 9,358,277.10/3,454.95
  6. Step 6: Final answer
    x = 2,708.66

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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.