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Finding the Fourth Proportional to 3,002.76, 4,142.88 and 1,676.28

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Solution

The fourth proportional to 3,002.76, 4,142.88 and 1,676.28 is: 2,312.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,002.76 : 4,142.88 = 1,676.28 : x
  2. Step 2: Convert to fraction form
    3,002.76/4,142.88 = 1,676.28/x
  3. Step 3: Cross multiply
    3,002.76x = 4,142.88 × 1,676.28
  4. Step 4: Simplify right side
    3,002.76x = 6,944,626.89
  5. Step 5: Solve for x
    x = 6,944,626.89/3,002.76
  6. Step 6: Final answer
    x = 2,312.75

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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.