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Finding the Fourth Proportional to 2,310.95, 3,465.61 and 1,078.13

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Solution

The fourth proportional to 2,310.95, 3,465.61 and 1,078.13 is: 1,616.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,310.95 : 3,465.61 = 1,078.13 : x
  2. Step 2: Convert to fraction form
    2,310.95/3,465.61 = 1,078.13/x
  3. Step 3: Cross multiply
    2,310.95x = 3,465.61 × 1,078.13
  4. Step 4: Simplify right side
    2,310.95x = 3,736,378.11
  5. Step 5: Solve for x
    x = 3,736,378.11/2,310.95
  6. Step 6: Final answer
    x = 1,616.81

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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.