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Finding the Fourth Proportional to 2,860.48, 4,290.24 and 808

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Solution

The fourth proportional to 2,860.48, 4,290.24 and 808 is: 1,211.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,860.48 : 4,290.24 = 808 : x
  2. Step 2: Convert to fraction form
    2,860.48/4,290.24 = 808/x
  3. Step 3: Cross multiply
    2,860.48x = 4,290.24 × 808
  4. Step 4: Simplify right side
    2,860.48x = 3,466,513.92
  5. Step 5: Solve for x
    x = 3,466,513.92/2,860.48
  6. Step 6: Final answer
    x = 1,211.86

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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.