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Finding the Fourth Proportional to 2,013.45, 3,019.15 and 1,309.47

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Solution

The fourth proportional to 2,013.45, 3,019.15 and 1,309.47 is: 1,963.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,013.45 : 3,019.15 = 1,309.47 : x
  2. Step 2: Convert to fraction form
    2,013.45/3,019.15 = 1,309.47/x
  3. Step 3: Cross multiply
    2,013.45x = 3,019.15 × 1,309.47
  4. Step 4: Simplify right side
    2,013.45x = 3,953,486.35
  5. Step 5: Solve for x
    x = 3,953,486.35/2,013.45
  6. Step 6: Final answer
    x = 1,963.54

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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.