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Finding the Fourth Proportional to 2,075.85, 2,868.32 and 1,659.63

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Solution

The fourth proportional to 2,075.85, 2,868.32 and 1,659.63 is: 2,293.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,075.85 : 2,868.32 = 1,659.63 : x
  2. Step 2: Convert to fraction form
    2,075.85/2,868.32 = 1,659.63/x
  3. Step 3: Cross multiply
    2,075.85x = 2,868.32 × 1,659.63
  4. Step 4: Simplify right side
    2,075.85x = 4,760,352.38
  5. Step 5: Solve for x
    x = 4,760,352.38/2,075.85
  6. Step 6: Final answer
    x = 2,293.21

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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.