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Finding the Fourth Proportional to 1,776.11, 2,665.31 and 802.21

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Solution

The fourth proportional to 1,776.11, 2,665.31 and 802.21 is: 1,203.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,776.11 : 2,665.31 = 802.21 : x
  2. Step 2: Convert to fraction form
    1,776.11/2,665.31 = 802.21/x
  3. Step 3: Cross multiply
    1,776.11x = 2,665.31 × 802.21
  4. Step 4: Simplify right side
    1,776.11x = 2,138,127.66
  5. Step 5: Solve for x
    x = 2,138,127.66/1,776.11
  6. Step 6: Final answer
    x = 1,203.83

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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.