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Finding the Fourth Proportional to 2,454.39, 3,385.65 and 1,510.65

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Solution

The fourth proportional to 2,454.39, 3,385.65 and 1,510.65 is: 2,083.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,454.39 : 3,385.65 = 1,510.65 : x
  2. Step 2: Convert to fraction form
    2,454.39/3,385.65 = 1,510.65/x
  3. Step 3: Cross multiply
    2,454.39x = 3,385.65 × 1,510.65
  4. Step 4: Simplify right side
    2,454.39x = 5,114,532.17
  5. Step 5: Solve for x
    x = 5,114,532.17/2,454.39
  6. Step 6: Final answer
    x = 2,083.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.