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Finding the Fourth Proportional to 2,649.32, 3,973.02 and 1,005.02

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Solution

The fourth proportional to 2,649.32, 3,973.02 and 1,005.02 is: 1,507.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,649.32 : 3,973.02 = 1,005.02 : x
  2. Step 2: Convert to fraction form
    2,649.32/3,973.02 = 1,005.02/x
  3. Step 3: Cross multiply
    2,649.32x = 3,973.02 × 1,005.02
  4. Step 4: Simplify right side
    2,649.32x = 3,992,964.56
  5. Step 5: Solve for x
    x = 3,992,964.56/2,649.32
  6. Step 6: Final answer
    x = 1,507.17

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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.