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Finding the Fourth Proportional to 2,073.57, 3,106.71 and 1,847.58

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Solution

The fourth proportional to 2,073.57, 3,106.71 and 1,847.58 is: 2,768.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,073.57 : 3,106.71 = 1,847.58 : x
  2. Step 2: Convert to fraction form
    2,073.57/3,106.71 = 1,847.58/x
  3. Step 3: Cross multiply
    2,073.57x = 3,106.71 × 1,847.58
  4. Step 4: Simplify right side
    2,073.57x = 5,739,895.26
  5. Step 5: Solve for x
    x = 5,739,895.26/2,073.57
  6. Step 6: Final answer
    x = 2,768.12

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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.