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Finding the Fourth Proportional to 2,102.84, 3,154.80 and 869.84

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Solution

The fourth proportional to 2,102.84, 3,154.80 and 869.84 is: 1,304.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.84 : 3,154.80 = 869.84 : x
  2. Step 2: Convert to fraction form
    2,102.84/3,154.80 = 869.84/x
  3. Step 3: Cross multiply
    2,102.84x = 3,154.80 × 869.84
  4. Step 4: Simplify right side
    2,102.84x = 2,744,171.23
  5. Step 5: Solve for x
    x = 2,744,171.23/2,102.84
  6. Step 6: Final answer
    x = 1,304.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.