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Finding the Fourth Proportional to 2,701, 3,727.65 and 1,652.86

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Solution

The fourth proportional to 2,701, 3,727.65 and 1,652.86 is: 2,281.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,701 : 3,727.65 = 1,652.86 : x
  2. Step 2: Convert to fraction form
    2,701/3,727.65 = 1,652.86/x
  3. Step 3: Cross multiply
    2,701x = 3,727.65 × 1,652.86
  4. Step 4: Simplify right side
    2,701x = 6,161,283.58
  5. Step 5: Solve for x
    x = 6,161,283.58/2,701
  6. Step 6: Final answer
    x = 2,281.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.