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Finding the Fourth Proportional to 3,034, 4,186.97 and 1,854.82

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Solution

The fourth proportional to 3,034, 4,186.97 and 1,854.82 is: 2,559.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,034 : 4,186.97 = 1,854.82 : x
  2. Step 2: Convert to fraction form
    3,034/4,186.97 = 1,854.82/x
  3. Step 3: Cross multiply
    3,034x = 4,186.97 × 1,854.82
  4. Step 4: Simplify right side
    3,034x = 7,766,075.70
  5. Step 5: Solve for x
    x = 7,766,075.70/3,034
  6. Step 6: Final answer
    x = 2,559.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.