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Finding the Fourth Proportional to 2,013.13, 3,020.05 and 714.60

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Solution

The fourth proportional to 2,013.13, 3,020.05 and 714.60 is: 1,072.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,013.13 : 3,020.05 = 714.60 : x
  2. Step 2: Convert to fraction form
    2,013.13/3,020.05 = 714.60/x
  3. Step 3: Cross multiply
    2,013.13x = 3,020.05 × 714.60
  4. Step 4: Simplify right side
    2,013.13x = 2,158,127.73
  5. Step 5: Solve for x
    x = 2,158,127.73/2,013.13
  6. Step 6: Final answer
    x = 1,072.03

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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.