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Finding the Fourth Proportional to 2,718.14, 4,078.12 and 1,075.46

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Solution

The fourth proportional to 2,718.14, 4,078.12 and 1,075.46 is: 1,613.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,718.14 : 4,078.12 = 1,075.46 : x
  2. Step 2: Convert to fraction form
    2,718.14/4,078.12 = 1,075.46/x
  3. Step 3: Cross multiply
    2,718.14x = 4,078.12 × 1,075.46
  4. Step 4: Simplify right side
    2,718.14x = 4,385,854.94
  5. Step 5: Solve for x
    x = 4,385,854.94/2,718.14
  6. Step 6: Final answer
    x = 1,613.55

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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.