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Finding the Fourth Proportional to 2,624.66, 3,934.29 and 1,164.50

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Solution

The fourth proportional to 2,624.66, 3,934.29 and 1,164.50 is: 1,745.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,624.66 : 3,934.29 = 1,164.50 : x
  2. Step 2: Convert to fraction form
    2,624.66/3,934.29 = 1,164.50/x
  3. Step 3: Cross multiply
    2,624.66x = 3,934.29 × 1,164.50
  4. Step 4: Simplify right side
    2,624.66x = 4,581,480.71
  5. Step 5: Solve for x
    x = 4,581,480.71/2,624.66
  6. Step 6: Final answer
    x = 1,745.55

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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.