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Finding the Fourth Proportional to 2,335.14, 3,502.89 and 775.08

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Solution

The fourth proportional to 2,335.14, 3,502.89 and 775.08 is: 1,162.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,335.14 : 3,502.89 = 775.08 : x
  2. Step 2: Convert to fraction form
    2,335.14/3,502.89 = 775.08/x
  3. Step 3: Cross multiply
    2,335.14x = 3,502.89 × 775.08
  4. Step 4: Simplify right side
    2,335.14x = 2,715,019.98
  5. Step 5: Solve for x
    x = 2,715,019.98/2,335.14
  6. Step 6: Final answer
    x = 1,162.68

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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.