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Finding the Fourth Proportional to 2,069.55, 3,102.48 and 1,340.55

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Solution

The fourth proportional to 2,069.55, 3,102.48 and 1,340.55 is: 2,009.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,069.55 : 3,102.48 = 1,340.55 : x
  2. Step 2: Convert to fraction form
    2,069.55/3,102.48 = 1,340.55/x
  3. Step 3: Cross multiply
    2,069.55x = 3,102.48 × 1,340.55
  4. Step 4: Simplify right side
    2,069.55x = 4,159,029.56
  5. Step 5: Solve for x
    x = 4,159,029.56/2,069.55
  6. Step 6: Final answer
    x = 2,009.63

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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.