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Finding the Fourth Proportional to 2,106.39, 3,159.55 and 720.69

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Solution

The fourth proportional to 2,106.39, 3,159.55 and 720.69 is: 1,081.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.39 : 3,159.55 = 720.69 : x
  2. Step 2: Convert to fraction form
    2,106.39/3,159.55 = 720.69/x
  3. Step 3: Cross multiply
    2,106.39x = 3,159.55 × 720.69
  4. Step 4: Simplify right side
    2,106.39x = 2,277,056.09
  5. Step 5: Solve for x
    x = 2,277,056.09/2,106.39
  6. Step 6: Final answer
    x = 1,081.02

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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.