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Finding the Fourth Proportional to 2,013.77, 3,020.96 and 714.94

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Solution

The fourth proportional to 2,013.77, 3,020.96 and 714.94 is: 1,072.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,013.77 : 3,020.96 = 714.94 : x
  2. Step 2: Convert to fraction form
    2,013.77/3,020.96 = 714.94/x
  3. Step 3: Cross multiply
    2,013.77x = 3,020.96 × 714.94
  4. Step 4: Simplify right side
    2,013.77x = 2,159,799.38
  5. Step 5: Solve for x
    x = 2,159,799.38/2,013.77
  6. Step 6: Final answer
    x = 1,072.51

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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.