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Finding the Fourth Proportional to 3,465.18, 4,781.07 and 2,048.80

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Solution

The fourth proportional to 3,465.18, 4,781.07 and 2,048.80 is: 2,826.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,465.18 : 4,781.07 = 2,048.80 : x
  2. Step 2: Convert to fraction form
    3,465.18/4,781.07 = 2,048.80/x
  3. Step 3: Cross multiply
    3,465.18x = 4,781.07 × 2,048.80
  4. Step 4: Simplify right side
    3,465.18x = 9,795,422.07
  5. Step 5: Solve for x
    x = 9,795,422.07/3,465.18
  6. Step 6: Final answer
    x = 2,826.81

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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.