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Finding the Fourth Proportional to 2,643.51, 3,962.19 and 1,473.24

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Solution

The fourth proportional to 2,643.51, 3,962.19 and 1,473.24 is: 2,208.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,643.51 : 3,962.19 = 1,473.24 : x
  2. Step 2: Convert to fraction form
    2,643.51/3,962.19 = 1,473.24/x
  3. Step 3: Cross multiply
    2,643.51x = 3,962.19 × 1,473.24
  4. Step 4: Simplify right side
    2,643.51x = 5,837,256.80
  5. Step 5: Solve for x
    x = 5,837,256.80/2,643.51
  6. Step 6: Final answer
    x = 2,208.15

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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.