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Finding the Fourth Proportional to 2,304.61, 3,180.39 and 1,256.67

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Solution

The fourth proportional to 2,304.61, 3,180.39 and 1,256.67 is: 1,734.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,304.61 : 3,180.39 = 1,256.67 : x
  2. Step 2: Convert to fraction form
    2,304.61/3,180.39 = 1,256.67/x
  3. Step 3: Cross multiply
    2,304.61x = 3,180.39 × 1,256.67
  4. Step 4: Simplify right side
    2,304.61x = 3,996,700.70
  5. Step 5: Solve for x
    x = 3,996,700.70/2,304.61
  6. Step 6: Final answer
    x = 1,734.22

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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.