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Finding the Fourth Proportional to 2,107.65, 3,155.40 and 2,046.90

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Solution

The fourth proportional to 2,107.65, 3,155.40 and 2,046.90 is: 3,064.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,107.65 : 3,155.40 = 2,046.90 : x
  2. Step 2: Convert to fraction form
    2,107.65/3,155.40 = 2,046.90/x
  3. Step 3: Cross multiply
    2,107.65x = 3,155.40 × 2,046.90
  4. Step 4: Simplify right side
    2,107.65x = 6,458,788.26
  5. Step 5: Solve for x
    x = 6,458,788.26/2,107.65
  6. Step 6: Final answer
    x = 3,064.45

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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.