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Finding the Fourth Proportional to 2,106.39, 3,159.60 and 808.77

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Solution

The fourth proportional to 2,106.39, 3,159.60 and 808.77 is: 1,213.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.39 : 3,159.60 = 808.77 : x
  2. Step 2: Convert to fraction form
    2,106.39/3,159.60 = 808.77/x
  3. Step 3: Cross multiply
    2,106.39x = 3,159.60 × 808.77
  4. Step 4: Simplify right side
    2,106.39x = 2,555,389.69
  5. Step 5: Solve for x
    x = 2,555,389.69/2,106.39
  6. Step 6: Final answer
    x = 1,213.16

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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.