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Finding the Fourth Proportional to 2,509.80, 3,766.14 and 1,356.84

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Solution

The fourth proportional to 2,509.80, 3,766.14 and 1,356.84 is: 2,036.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509.80 : 3,766.14 = 1,356.84 : x
  2. Step 2: Convert to fraction form
    2,509.80/3,766.14 = 1,356.84/x
  3. Step 3: Cross multiply
    2,509.80x = 3,766.14 × 1,356.84
  4. Step 4: Simplify right side
    2,509.80x = 5,110,049.40
  5. Step 5: Solve for x
    x = 5,110,049.40/2,509.80
  6. Step 6: Final answer
    x = 2,036.04

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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.