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Finding the Fourth Proportional to 1,807.96, 2,710.11 and 834.74

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Solution

The fourth proportional to 1,807.96, 2,710.11 and 834.74 is: 1,251.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,807.96 : 2,710.11 = 834.74 : x
  2. Step 2: Convert to fraction form
    1,807.96/2,710.11 = 834.74/x
  3. Step 3: Cross multiply
    1,807.96x = 2,710.11 × 834.74
  4. Step 4: Simplify right side
    1,807.96x = 2,262,237.22
  5. Step 5: Solve for x
    x = 2,262,237.22/1,807.96
  6. Step 6: Final answer
    x = 1,251.27

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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.