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Finding the Fourth Proportional to 2,701, 4,053.68 and 1,402.84

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Solution

The fourth proportional to 2,701, 4,053.68 and 1,402.84 is: 2,105.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,701 : 4,053.68 = 1,402.84 : x
  2. Step 2: Convert to fraction form
    2,701/4,053.68 = 1,402.84/x
  3. Step 3: Cross multiply
    2,701x = 4,053.68 × 1,402.84
  4. Step 4: Simplify right side
    2,701x = 5,686,664.45
  5. Step 5: Solve for x
    x = 5,686,664.45/2,701
  6. Step 6: Final answer
    x = 2,105.39

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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.