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Finding the Fourth Proportional to 2,649.17, 3,973.19 and 1,005.14

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Solution

The fourth proportional to 2,649.17, 3,973.19 and 1,005.14 is: 1,507.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,649.17 : 3,973.19 = 1,005.14 : x
  2. Step 2: Convert to fraction form
    2,649.17/3,973.19 = 1,005.14/x
  3. Step 3: Cross multiply
    2,649.17x = 3,973.19 × 1,005.14
  4. Step 4: Simplify right side
    2,649.17x = 3,993,587.30
  5. Step 5: Solve for x
    x = 3,993,587.30/2,649.17
  6. Step 6: Final answer
    x = 1,507.49

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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.