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Finding the Fourth Proportional to 2,860, 4,290.42 and 808

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Solution

The fourth proportional to 2,860, 4,290.42 and 808 is: 1,212.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,860 : 4,290.42 = 808 : x
  2. Step 2: Convert to fraction form
    2,860/4,290.42 = 808/x
  3. Step 3: Cross multiply
    2,860x = 4,290.42 × 808
  4. Step 4: Simplify right side
    2,860x = 3,466,659.36
  5. Step 5: Solve for x
    x = 3,466,659.36/2,860
  6. Step 6: Final answer
    x = 1,212.12

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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.