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Finding the Fourth Proportional to 2,078.09, 3,117.60 and 691.31

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Solution

The fourth proportional to 2,078.09, 3,117.60 and 691.31 is: 1,037.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078.09 : 3,117.60 = 691.31 : x
  2. Step 2: Convert to fraction form
    2,078.09/3,117.60 = 691.31/x
  3. Step 3: Cross multiply
    2,078.09x = 3,117.60 × 691.31
  4. Step 4: Simplify right side
    2,078.09x = 2,155,228.06
  5. Step 5: Solve for x
    x = 2,155,228.06/2,078.09
  6. Step 6: Final answer
    x = 1,037.12

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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.