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Finding the Fourth Proportional to 2,703.59, 3,727.59 and 2,256.11

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Solution

The fourth proportional to 2,703.59, 3,727.59 and 2,256.11 is: 3,110.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,703.59 : 3,727.59 = 2,256.11 : x
  2. Step 2: Convert to fraction form
    2,703.59/3,727.59 = 2,256.11/x
  3. Step 3: Cross multiply
    2,703.59x = 3,727.59 × 2,256.11
  4. Step 4: Simplify right side
    2,703.59x = 8,409,853.07
  5. Step 5: Solve for x
    x = 8,409,853.07/2,703.59
  6. Step 6: Final answer
    x = 3,110.62

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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.