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Finding the Fourth Proportional to 2,718.17, 4,078.61 and 1,075.90

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Solution

The fourth proportional to 2,718.17, 4,078.61 and 1,075.90 is: 1,614.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,718.17 : 4,078.61 = 1,075.90 : x
  2. Step 2: Convert to fraction form
    2,718.17/4,078.61 = 1,075.90/x
  3. Step 3: Cross multiply
    2,718.17x = 4,078.61 × 1,075.90
  4. Step 4: Simplify right side
    2,718.17x = 4,388,176.50
  5. Step 5: Solve for x
    x = 4,388,176.50/2,718.17
  6. Step 6: Final answer
    x = 1,614.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.