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Finding the Fourth Proportional to 2,065.14, 3,097.77 and 526.14

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Solution

The fourth proportional to 2,065.14, 3,097.77 and 526.14 is: 789.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065.14 : 3,097.77 = 526.14 : x
  2. Step 2: Convert to fraction form
    2,065.14/3,097.77 = 526.14/x
  3. Step 3: Cross multiply
    2,065.14x = 3,097.77 × 526.14
  4. Step 4: Simplify right side
    2,065.14x = 1,629,860.71
  5. Step 5: Solve for x
    x = 1,629,860.71/2,065.14
  6. Step 6: Final answer
    x = 789.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.