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Finding the Fourth Proportional to 2,013.06, 3,019.60 and 714.54

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Solution

The fourth proportional to 2,013.06, 3,019.60 and 714.54 is: 1,071.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,013.06 : 3,019.60 = 714.54 : x
  2. Step 2: Convert to fraction form
    2,013.06/3,019.60 = 714.54/x
  3. Step 3: Cross multiply
    2,013.06x = 3,019.60 × 714.54
  4. Step 4: Simplify right side
    2,013.06x = 2,157,624.98
  5. Step 5: Solve for x
    x = 2,157,624.98/2,013.06
  6. Step 6: Final answer
    x = 1,071.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.