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Finding the Fourth Proportional to 1,750.08, 2,622.81 and 824.37

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Solution

The fourth proportional to 1,750.08, 2,622.81 and 824.37 is: 1,235.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,750.08 : 2,622.81 = 824.37 : x
  2. Step 2: Convert to fraction form
    1,750.08/2,622.81 = 824.37/x
  3. Step 3: Cross multiply
    1,750.08x = 2,622.81 × 824.37
  4. Step 4: Simplify right side
    1,750.08x = 2,162,165.88
  5. Step 5: Solve for x
    x = 2,162,165.88/1,750.08
  6. Step 6: Final answer
    x = 1,235.47

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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.