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Finding the Fourth Proportional to 2,758.53, 3,806.59 and 2,058.69

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Solution

The fourth proportional to 2,758.53, 3,806.59 and 2,058.69 is: 2,840.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,758.53 : 3,806.59 = 2,058.69 : x
  2. Step 2: Convert to fraction form
    2,758.53/3,806.59 = 2,058.69/x
  3. Step 3: Cross multiply
    2,758.53x = 3,806.59 × 2,058.69
  4. Step 4: Simplify right side
    2,758.53x = 7,836,588.77
  5. Step 5: Solve for x
    x = 7,836,588.77/2,758.53
  6. Step 6: Final answer
    x = 2,840.86

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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.