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Finding the Fourth Proportional to 2,701.32, 3,727.08 and 1,653

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Solution

The fourth proportional to 2,701.32, 3,727.08 and 1,653 is: 2,280.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,701.32 : 3,727.08 = 1,653 : x
  2. Step 2: Convert to fraction form
    2,701.32/3,727.08 = 1,653/x
  3. Step 3: Cross multiply
    2,701.32x = 3,727.08 × 1,653
  4. Step 4: Simplify right side
    2,701.32x = 6,160,863.24
  5. Step 5: Solve for x
    x = 6,160,863.24/2,701.32
  6. Step 6: Final answer
    x = 2,280.69

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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.