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Finding the Fourth Proportional to 2,984.84, 4,115.16 and 2,569.65

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Solution

The fourth proportional to 2,984.84, 4,115.16 and 2,569.65 is: 3,542.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,984.84 : 4,115.16 = 2,569.65 : x
  2. Step 2: Convert to fraction form
    2,984.84/4,115.16 = 2,569.65/x
  3. Step 3: Cross multiply
    2,984.84x = 4,115.16 × 2,569.65
  4. Step 4: Simplify right side
    2,984.84x = 10,574,520.89
  5. Step 5: Solve for x
    x = 10,574,520.89/2,984.84
  6. Step 6: Final answer
    x = 3,542.75

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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.