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Finding the Fourth Proportional to 2,482.07, 3,721.15 and 1,699.70

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Solution

The fourth proportional to 2,482.07, 3,721.15 and 1,699.70 is: 2,548.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,482.07 : 3,721.15 = 1,699.70 : x
  2. Step 2: Convert to fraction form
    2,482.07/3,721.15 = 1,699.70/x
  3. Step 3: Cross multiply
    2,482.07x = 3,721.15 × 1,699.70
  4. Step 4: Simplify right side
    2,482.07x = 6,324,838.66
  5. Step 5: Solve for x
    x = 6,324,838.66/2,482.07
  6. Step 6: Final answer
    x = 2,548.21

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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.