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Finding the Fourth Proportional to 2,013.54, 3,017.79 and 1,148.34

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Solution

The fourth proportional to 2,013.54, 3,017.79 and 1,148.34 is: 1,721.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,013.54 : 3,017.79 = 1,148.34 : x
  2. Step 2: Convert to fraction form
    2,013.54/3,017.79 = 1,148.34/x
  3. Step 3: Cross multiply
    2,013.54x = 3,017.79 × 1,148.34
  4. Step 4: Simplify right side
    2,013.54x = 3,465,448.97
  5. Step 5: Solve for x
    x = 3,465,448.97/2,013.54
  6. Step 6: Final answer
    x = 1,721.07

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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.