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Finding the Fourth Proportional to 2,510.34, 3,764.42 and 1,340.09

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Solution

The fourth proportional to 2,510.34, 3,764.42 and 1,340.09 is: 2,009.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,510.34 : 3,764.42 = 1,340.09 : x
  2. Step 2: Convert to fraction form
    2,510.34/3,764.42 = 1,340.09/x
  3. Step 3: Cross multiply
    2,510.34x = 3,764.42 × 1,340.09
  4. Step 4: Simplify right side
    2,510.34x = 5,044,661.60
  5. Step 5: Solve for x
    x = 5,044,661.60/2,510.34
  6. Step 6: Final answer
    x = 2,009.55

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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.