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Finding the Fourth Proportional to 3,281.84, 4,527 and 2,102.48

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Solution

The fourth proportional to 3,281.84, 4,527 and 2,102.48 is: 2,900.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,281.84 : 4,527 = 2,102.48 : x
  2. Step 2: Convert to fraction form
    3,281.84/4,527 = 2,102.48/x
  3. Step 3: Cross multiply
    3,281.84x = 4,527 × 2,102.48
  4. Step 4: Simplify right side
    3,281.84x = 9,517,926.96
  5. Step 5: Solve for x
    x = 9,517,926.96/3,281.84
  6. Step 6: Final answer
    x = 2,900.18

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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.