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Finding the Fourth Proportional to 2,753.16, 3,802.92 and 2,009.64

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Solution

The fourth proportional to 2,753.16, 3,802.92 and 2,009.64 is: 2,775.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,753.16 : 3,802.92 = 2,009.64 : x
  2. Step 2: Convert to fraction form
    2,753.16/3,802.92 = 2,009.64/x
  3. Step 3: Cross multiply
    2,753.16x = 3,802.92 × 2,009.64
  4. Step 4: Simplify right side
    2,753.16x = 7,642,500.15
  5. Step 5: Solve for x
    x = 7,642,500.15/2,753.16
  6. Step 6: Final answer
    x = 2,775.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.