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Finding the Fourth Proportional to 2,259.56, 3,111.26 and 1,978.22

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Solution

The fourth proportional to 2,259.56, 3,111.26 and 1,978.22 is: 2,723.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,259.56 : 3,111.26 = 1,978.22 : x
  2. Step 2: Convert to fraction form
    2,259.56/3,111.26 = 1,978.22/x
  3. Step 3: Cross multiply
    2,259.56x = 3,111.26 × 1,978.22
  4. Step 4: Simplify right side
    2,259.56x = 6,154,756.76
  5. Step 5: Solve for x
    x = 6,154,756.76/2,259.56
  6. Step 6: Final answer
    x = 2,723.87

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