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Finding the Fourth Proportional to 2,675.84, 4,013.35 and 920.57

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Solution

The fourth proportional to 2,675.84, 4,013.35 and 920.57 is: 1,380.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,675.84 : 4,013.35 = 920.57 : x
  2. Step 2: Convert to fraction form
    2,675.84/4,013.35 = 920.57/x
  3. Step 3: Cross multiply
    2,675.84x = 4,013.35 × 920.57
  4. Step 4: Simplify right side
    2,675.84x = 3,694,547.24
  5. Step 5: Solve for x
    x = 3,694,547.24/2,675.84
  6. Step 6: Final answer
    x = 1,380.71

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Why These Related Problems?

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