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Finding the Fourth Proportional to 2,045.76, 3,052.94 and 1,827.06

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Solution

The fourth proportional to 2,045.76, 3,052.94 and 1,827.06 is: 2,726.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,045.76 : 3,052.94 = 1,827.06 : x
  2. Step 2: Convert to fraction form
    2,045.76/3,052.94 = 1,827.06/x
  3. Step 3: Cross multiply
    2,045.76x = 3,052.94 × 1,827.06
  4. Step 4: Simplify right side
    2,045.76x = 5,577,904.56
  5. Step 5: Solve for x
    x = 5,577,904.56/2,045.76
  6. Step 6: Final answer
    x = 2,726.57

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.