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Finding the Fourth Proportional to 3,280.82, 4,527 and 2,101.68

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Solution

The fourth proportional to 3,280.82, 4,527 and 2,101.68 is: 2,899.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,280.82 : 4,527 = 2,101.68 : x
  2. Step 2: Convert to fraction form
    3,280.82/4,527 = 2,101.68/x
  3. Step 3: Cross multiply
    3,280.82x = 4,527 × 2,101.68
  4. Step 4: Simplify right side
    3,280.82x = 9,514,305.36
  5. Step 5: Solve for x
    x = 9,514,305.36/3,280.82
  6. Step 6: Final answer
    x = 2,899.98

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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.