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Finding the Fourth Proportional to 2,588.95, 3,883.65 and 809.89

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Solution

The fourth proportional to 2,588.95, 3,883.65 and 809.89 is: 1,214.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,588.95 : 3,883.65 = 809.89 : x
  2. Step 2: Convert to fraction form
    2,588.95/3,883.65 = 809.89/x
  3. Step 3: Cross multiply
    2,588.95x = 3,883.65 × 809.89
  4. Step 4: Simplify right side
    2,588.95x = 3,145,329.30
  5. Step 5: Solve for x
    x = 3,145,329.30/2,588.95
  6. Step 6: Final answer
    x = 1,214.91

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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.