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Finding the Fourth Proportional to 2,534.68, 3,497.34 and 1,649.08

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Solution

The fourth proportional to 2,534.68, 3,497.34 and 1,649.08 is: 2,275.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,534.68 : 3,497.34 = 1,649.08 : x
  2. Step 2: Convert to fraction form
    2,534.68/3,497.34 = 1,649.08/x
  3. Step 3: Cross multiply
    2,534.68x = 3,497.34 × 1,649.08
  4. Step 4: Simplify right side
    2,534.68x = 5,767,393.45
  5. Step 5: Solve for x
    x = 5,767,393.45/2,534.68
  6. Step 6: Final answer
    x = 2,275.39

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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.