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Finding the Fourth Proportional to 2,538.06, 3,804.06 and 1,151.76

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Solution

The fourth proportional to 2,538.06, 3,804.06 and 1,151.76 is: 1,726.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,538.06 : 3,804.06 = 1,151.76 : x
  2. Step 2: Convert to fraction form
    2,538.06/3,804.06 = 1,151.76/x
  3. Step 3: Cross multiply
    2,538.06x = 3,804.06 × 1,151.76
  4. Step 4: Simplify right side
    2,538.06x = 4,381,364.15
  5. Step 5: Solve for x
    x = 4,381,364.15/2,538.06
  6. Step 6: Final answer
    x = 1,726.26

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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.