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Finding the Fourth Proportional to 2,044.83, 3,065.33 and 948.87

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Solution

The fourth proportional to 2,044.83, 3,065.33 and 948.87 is: 1,422.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,044.83 : 3,065.33 = 948.87 : x
  2. Step 2: Convert to fraction form
    2,044.83/3,065.33 = 948.87/x
  3. Step 3: Cross multiply
    2,044.83x = 3,065.33 × 948.87
  4. Step 4: Simplify right side
    2,044.83x = 2,908,594.93
  5. Step 5: Solve for x
    x = 2,908,594.93/2,044.83
  6. Step 6: Final answer
    x = 1,422.41

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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.