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Finding the Fourth Proportional to 2,259.86, 3,387.44 and 1,206.48

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Solution

The fourth proportional to 2,259.86, 3,387.44 and 1,206.48 is: 1,808.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,259.86 : 3,387.44 = 1,206.48 : x
  2. Step 2: Convert to fraction form
    2,259.86/3,387.44 = 1,206.48/x
  3. Step 3: Cross multiply
    2,259.86x = 3,387.44 × 1,206.48
  4. Step 4: Simplify right side
    2,259.86x = 4,086,878.61
  5. Step 5: Solve for x
    x = 4,086,878.61/2,259.86
  6. Step 6: Final answer
    x = 1,808.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.