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Finding the Fourth Proportional to 2,382.75, 3,570.05 and 1,688.26

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Solution

The fourth proportional to 2,382.75, 3,570.05 and 1,688.26 is: 2,529.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,382.75 : 3,570.05 = 1,688.26 : x
  2. Step 2: Convert to fraction form
    2,382.75/3,570.05 = 1,688.26/x
  3. Step 3: Cross multiply
    2,382.75x = 3,570.05 × 1,688.26
  4. Step 4: Simplify right side
    2,382.75x = 6,027,172.61
  5. Step 5: Solve for x
    x = 6,027,172.61/2,382.75
  6. Step 6: Final answer
    x = 2,529.50

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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.