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Finding the Fourth Proportional to 1,750.83, 2,624.94 and 825.86

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Solution

The fourth proportional to 1,750.83, 2,624.94 and 825.86 is: 1,238.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,750.83 : 2,624.94 = 825.86 : x
  2. Step 2: Convert to fraction form
    1,750.83/2,624.94 = 825.86/x
  3. Step 3: Cross multiply
    1,750.83x = 2,624.94 × 825.86
  4. Step 4: Simplify right side
    1,750.83x = 2,167,832.95
  5. Step 5: Solve for x
    x = 2,167,832.95/1,750.83
  6. Step 6: Final answer
    x = 1,238.17

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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.