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Finding the Fourth Proportional to 1,251.62, 1,725.96 and 1,075.18

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Solution

The fourth proportional to 1,251.62, 1,725.96 and 1,075.18 is: 1,482.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,251.62 : 1,725.96 = 1,075.18 : x
  2. Step 2: Convert to fraction form
    1,251.62/1,725.96 = 1,075.18/x
  3. Step 3: Cross multiply
    1,251.62x = 1,725.96 × 1,075.18
  4. Step 4: Simplify right side
    1,251.62x = 1,855,717.67
  5. Step 5: Solve for x
    x = 1,855,717.67/1,251.62
  6. Step 6: Final answer
    x = 1,482.65

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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.