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Finding the Fourth Proportional to 2,036.76, 3,054.86 and 867.24

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Solution

The fourth proportional to 2,036.76, 3,054.86 and 867.24 is: 1,300.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,036.76 : 3,054.86 = 867.24 : x
  2. Step 2: Convert to fraction form
    2,036.76/3,054.86 = 867.24/x
  3. Step 3: Cross multiply
    2,036.76x = 3,054.86 × 867.24
  4. Step 4: Simplify right side
    2,036.76x = 2,649,296.79
  5. Step 5: Solve for x
    x = 2,649,296.79/2,036.76
  6. Step 6: Final answer
    x = 1,300.74

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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.