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Finding the Fourth Proportional to 2,649.32, 3,656.04 and 1,454.36

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Solution

The fourth proportional to 2,649.32, 3,656.04 and 1,454.36 is: 2,007.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,649.32 : 3,656.04 = 1,454.36 : x
  2. Step 2: Convert to fraction form
    2,649.32/3,656.04 = 1,454.36/x
  3. Step 3: Cross multiply
    2,649.32x = 3,656.04 × 1,454.36
  4. Step 4: Simplify right side
    2,649.32x = 5,317,198.33
  5. Step 5: Solve for x
    x = 5,317,198.33/2,649.32
  6. Step 6: Final answer
    x = 2,007.00

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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.