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Finding the Fourth Proportional to 3,075.92, 4,244.52 and 1,897

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Solution

The fourth proportional to 3,075.92, 4,244.52 and 1,897 is: 2,617.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,075.92 : 4,244.52 = 1,897 : x
  2. Step 2: Convert to fraction form
    3,075.92/4,244.52 = 1,897/x
  3. Step 3: Cross multiply
    3,075.92x = 4,244.52 × 1,897
  4. Step 4: Simplify right side
    3,075.92x = 8,051,854.44
  5. Step 5: Solve for x
    x = 8,051,854.44/3,075.92
  6. Step 6: Final answer
    x = 2,617.71

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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.