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Finding the Fourth Proportional to 1,767.83, 2,653.56 and 1,075.28

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Solution

The fourth proportional to 1,767.83, 2,653.56 and 1,075.28 is: 1,614.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,767.83 : 2,653.56 = 1,075.28 : x
  2. Step 2: Convert to fraction form
    1,767.83/2,653.56 = 1,075.28/x
  3. Step 3: Cross multiply
    1,767.83x = 2,653.56 × 1,075.28
  4. Step 4: Simplify right side
    1,767.83x = 2,853,306.73
  5. Step 5: Solve for x
    x = 2,853,306.73/1,767.83
  6. Step 6: Final answer
    x = 1,614.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.