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Finding the Fourth Proportional to 1,948.46, 2,701.69 and 1,879.20

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Solution

The fourth proportional to 1,948.46, 2,701.69 and 1,879.20 is: 2,605.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,948.46 : 2,701.69 = 1,879.20 : x
  2. Step 2: Convert to fraction form
    1,948.46/2,701.69 = 1,879.20/x
  3. Step 3: Cross multiply
    1,948.46x = 2,701.69 × 1,879.20
  4. Step 4: Simplify right side
    1,948.46x = 5,077,011.15
  5. Step 5: Solve for x
    x = 5,077,011.15/1,948.46
  6. Step 6: Final answer
    x = 2,605.66

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.