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Finding the Fourth Proportional to 2,902.80, 4,356.09 and 1,259.85

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Solution

The fourth proportional to 2,902.80, 4,356.09 and 1,259.85 is: 1,890.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,902.80 : 4,356.09 = 1,259.85 : x
  2. Step 2: Convert to fraction form
    2,902.80/4,356.09 = 1,259.85/x
  3. Step 3: Cross multiply
    2,902.80x = 4,356.09 × 1,259.85
  4. Step 4: Simplify right side
    2,902.80x = 5,488,019.99
  5. Step 5: Solve for x
    x = 5,488,019.99/2,902.80
  6. Step 6: Final answer
    x = 1,890.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.