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Finding the Fourth Proportional to 2,075.74, 2,862.49 and 1,761.87

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Solution

The fourth proportional to 2,075.74, 2,862.49 and 1,761.87 is: 2,429.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,075.74 : 2,862.49 = 1,761.87 : x
  2. Step 2: Convert to fraction form
    2,075.74/2,862.49 = 1,761.87/x
  3. Step 3: Cross multiply
    2,075.74x = 2,862.49 × 1,761.87
  4. Step 4: Simplify right side
    2,075.74x = 5,043,335.26
  5. Step 5: Solve for x
    x = 5,043,335.26/2,075.74
  6. Step 6: Final answer
    x = 2,429.66

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