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Finding the Fourth Proportional to 1,913.34, 2,870.22 and 817.82

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Solution

The fourth proportional to 1,913.34, 2,870.22 and 817.82 is: 1,226.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,913.34 : 2,870.22 = 817.82 : x
  2. Step 2: Convert to fraction form
    1,913.34/2,870.22 = 817.82/x
  3. Step 3: Cross multiply
    1,913.34x = 2,870.22 × 817.82
  4. Step 4: Simplify right side
    1,913.34x = 2,347,308.97
  5. Step 5: Solve for x
    x = 2,347,308.97/1,913.34
  6. Step 6: Final answer
    x = 1,226.81

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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.