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Finding the Fourth Proportional to 3,141.80, 4,712.70 and 2,048.30

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Solution

The fourth proportional to 3,141.80, 4,712.70 and 2,048.30 is: 3,072.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,141.80 : 4,712.70 = 2,048.30 : x
  2. Step 2: Convert to fraction form
    3,141.80/4,712.70 = 2,048.30/x
  3. Step 3: Cross multiply
    3,141.80x = 4,712.70 × 2,048.30
  4. Step 4: Simplify right side
    3,141.80x = 9,653,023.41
  5. Step 5: Solve for x
    x = 9,653,023.41/3,141.80
  6. Step 6: Final answer
    x = 3,072.45

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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.