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Finding the Fourth Proportional to 2,075.77, 2,863.11 and 1,330.66

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Solution

The fourth proportional to 2,075.77, 2,863.11 and 1,330.66 is: 1,835.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,075.77 : 2,863.11 = 1,330.66 : x
  2. Step 2: Convert to fraction form
    2,075.77/2,863.11 = 1,330.66/x
  3. Step 3: Cross multiply
    2,075.77x = 2,863.11 × 1,330.66
  4. Step 4: Simplify right side
    2,075.77x = 3,809,825.95
  5. Step 5: Solve for x
    x = 3,809,825.95/2,075.77
  6. Step 6: Final answer
    x = 1,835.38

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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.