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Finding the Fourth Proportional to 2,718.82, 4,078.70 and 1,075.38

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Solution

The fourth proportional to 2,718.82, 4,078.70 and 1,075.38 is: 1,613.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,718.82 : 4,078.70 = 1,075.38 : x
  2. Step 2: Convert to fraction form
    2,718.82/4,078.70 = 1,075.38/x
  3. Step 3: Cross multiply
    2,718.82x = 4,078.70 × 1,075.38
  4. Step 4: Simplify right side
    2,718.82x = 4,386,141.82
  5. Step 5: Solve for x
    x = 4,386,141.82/2,718.82
  6. Step 6: Final answer
    x = 1,613.25

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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.