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Finding the Fourth Proportional to 3,178.40, 4,767.28 and 869.76

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Solution

The fourth proportional to 3,178.40, 4,767.28 and 869.76 is: 1,304.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,178.40 : 4,767.28 = 869.76 : x
  2. Step 2: Convert to fraction form
    3,178.40/4,767.28 = 869.76/x
  3. Step 3: Cross multiply
    3,178.40x = 4,767.28 × 869.76
  4. Step 4: Simplify right side
    3,178.40x = 4,146,389.45
  5. Step 5: Solve for x
    x = 4,146,389.45/3,178.40
  6. Step 6: Final answer
    x = 1,304.55

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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.