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Finding the Fourth Proportional to 2,105.13, 3,155.69 and 788.54

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Solution

The fourth proportional to 2,105.13, 3,155.69 and 788.54 is: 1,182.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105.13 : 3,155.69 = 788.54 : x
  2. Step 2: Convert to fraction form
    2,105.13/3,155.69 = 788.54/x
  3. Step 3: Cross multiply
    2,105.13x = 3,155.69 × 788.54
  4. Step 4: Simplify right side
    2,105.13x = 2,488,368.07
  5. Step 5: Solve for x
    x = 2,488,368.07/2,105.13
  6. Step 6: Final answer
    x = 1,182.05

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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.