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Finding the Fourth Proportional to 2,382.50, 3,571.70 and 1,686.98

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Solution

The fourth proportional to 2,382.50, 3,571.70 and 1,686.98 is: 2,529.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,382.50 : 3,571.70 = 1,686.98 : x
  2. Step 2: Convert to fraction form
    2,382.50/3,571.70 = 1,686.98/x
  3. Step 3: Cross multiply
    2,382.50x = 3,571.70 × 1,686.98
  4. Step 4: Simplify right side
    2,382.50x = 6,025,360.17
  5. Step 5: Solve for x
    x = 6,025,360.17/2,382.50
  6. Step 6: Final answer
    x = 2,529.01

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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.