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Finding the Fourth Proportional to 2,077.56, 2,864.34 and 1,722.18

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Solution

The fourth proportional to 2,077.56, 2,864.34 and 1,722.18 is: 2,374.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,077.56 : 2,864.34 = 1,722.18 : x
  2. Step 2: Convert to fraction form
    2,077.56/2,864.34 = 1,722.18/x
  3. Step 3: Cross multiply
    2,077.56x = 2,864.34 × 1,722.18
  4. Step 4: Simplify right side
    2,077.56x = 4,932,909.06
  5. Step 5: Solve for x
    x = 4,932,909.06/2,077.56
  6. Step 6: Final answer
    x = 2,374.38

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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.