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Finding the Fourth Proportional to 4,178.65, 6,265.81 and 1,256.57

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Solution

The fourth proportional to 4,178.65, 6,265.81 and 1,256.57 is: 1,884.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,178.65 : 6,265.81 = 1,256.57 : x
  2. Step 2: Convert to fraction form
    4,178.65/6,265.81 = 1,256.57/x
  3. Step 3: Cross multiply
    4,178.65x = 6,265.81 × 1,256.57
  4. Step 4: Simplify right side
    4,178.65x = 7,873,428.87
  5. Step 5: Solve for x
    x = 7,873,428.87/4,178.65
  6. Step 6: Final answer
    x = 1,884.20

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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.