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Finding the Fourth Proportional to 2,265.84, 3,391.07 and 1,482.57

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Solution

The fourth proportional to 2,265.84, 3,391.07 and 1,482.57 is: 2,218.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,265.84 : 3,391.07 = 1,482.57 : x
  2. Step 2: Convert to fraction form
    2,265.84/3,391.07 = 1,482.57/x
  3. Step 3: Cross multiply
    2,265.84x = 3,391.07 × 1,482.57
  4. Step 4: Simplify right side
    2,265.84x = 5,027,491.24
  5. Step 5: Solve for x
    x = 5,027,491.24/2,265.84
  6. Step 6: Final answer
    x = 2,218.82

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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.