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Finding the Fourth Proportional to 2,808, 3,875.16 and 1,566

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Solution

The fourth proportional to 2,808, 3,875.16 and 1,566 is: 2,161.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,808 : 3,875.16 = 1,566 : x
  2. Step 2: Convert to fraction form
    2,808/3,875.16 = 1,566/x
  3. Step 3: Cross multiply
    2,808x = 3,875.16 × 1,566
  4. Step 4: Simplify right side
    2,808x = 6,068,500.56
  5. Step 5: Solve for x
    x = 6,068,500.56/2,808
  6. Step 6: Final answer
    x = 2,161.15

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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.