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Finding the Fourth Proportional to 2,013.84, 3,021.12 and 714.96

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Solution

The fourth proportional to 2,013.84, 3,021.12 and 714.96 is: 1,072.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,013.84 : 3,021.12 = 714.96 : x
  2. Step 2: Convert to fraction form
    2,013.84/3,021.12 = 714.96/x
  3. Step 3: Cross multiply
    2,013.84x = 3,021.12 × 714.96
  4. Step 4: Simplify right side
    2,013.84x = 2,159,979.96
  5. Step 5: Solve for x
    x = 2,159,979.96/2,013.84
  6. Step 6: Final answer
    x = 1,072.57

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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.