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Finding the Fourth Proportional to 2,259.81, 3,111.62 and 1,978.47

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Solution

The fourth proportional to 2,259.81, 3,111.62 and 1,978.47 is: 2,724.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,259.81 : 3,111.62 = 1,978.47 : x
  2. Step 2: Convert to fraction form
    2,259.81/3,111.62 = 1,978.47/x
  3. Step 3: Cross multiply
    2,259.81x = 3,111.62 × 1,978.47
  4. Step 4: Simplify right side
    2,259.81x = 6,156,236.93
  5. Step 5: Solve for x
    x = 6,156,236.93/2,259.81
  6. Step 6: Final answer
    x = 2,724.23

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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.