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Finding the Fourth Proportional to 2,267.98, 3,402.03 and 807.28

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Solution

The fourth proportional to 2,267.98, 3,402.03 and 807.28 is: 1,210.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,267.98 : 3,402.03 = 807.28 : x
  2. Step 2: Convert to fraction form
    2,267.98/3,402.03 = 807.28/x
  3. Step 3: Cross multiply
    2,267.98x = 3,402.03 × 807.28
  4. Step 4: Simplify right side
    2,267.98x = 2,746,390.78
  5. Step 5: Solve for x
    x = 2,746,390.78/2,267.98
  6. Step 6: Final answer
    x = 1,210.94

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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.