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Finding the Fourth Proportional to 2,013.85, 2,780.09 and 1,350.46

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Solution

The fourth proportional to 2,013.85, 2,780.09 and 1,350.46 is: 1,864.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,013.85 : 2,780.09 = 1,350.46 : x
  2. Step 2: Convert to fraction form
    2,013.85/2,780.09 = 1,350.46/x
  3. Step 3: Cross multiply
    2,013.85x = 2,780.09 × 1,350.46
  4. Step 4: Simplify right side
    2,013.85x = 3,754,393.59
  5. Step 5: Solve for x
    x = 3,754,393.59/2,013.85
  6. Step 6: Final answer
    x = 1,864.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.