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Finding the Fourth Proportional to 2,267.70, 3,402.06 and 807

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Solution

The fourth proportional to 2,267.70, 3,402.06 and 807 is: 1,210.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,267.70 : 3,402.06 = 807 : x
  2. Step 2: Convert to fraction form
    2,267.70/3,402.06 = 807/x
  3. Step 3: Cross multiply
    2,267.70x = 3,402.06 × 807
  4. Step 4: Simplify right side
    2,267.70x = 2,745,462.42
  5. Step 5: Solve for x
    x = 2,745,462.42/2,267.70
  6. Step 6: Final answer
    x = 1,210.68

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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.