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Finding the Fourth Proportional to 2,543.51, 3,509.69 and 1,424.32

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Solution

The fourth proportional to 2,543.51, 3,509.69 and 1,424.32 is: 1,965.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,543.51 : 3,509.69 = 1,424.32 : x
  2. Step 2: Convert to fraction form
    2,543.51/3,509.69 = 1,424.32/x
  3. Step 3: Cross multiply
    2,543.51x = 3,509.69 × 1,424.32
  4. Step 4: Simplify right side
    2,543.51x = 4,998,921.66
  5. Step 5: Solve for x
    x = 4,998,921.66/2,543.51
  6. Step 6: Final answer
    x = 1,965.36

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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.