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Finding the Fourth Proportional to 2,641.02, 3,646.44 and 1,646.52

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Solution

The fourth proportional to 2,641.02, 3,646.44 and 1,646.52 is: 2,273.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,641.02 : 3,646.44 = 1,646.52 : x
  2. Step 2: Convert to fraction form
    2,641.02/3,646.44 = 1,646.52/x
  3. Step 3: Cross multiply
    2,641.02x = 3,646.44 × 1,646.52
  4. Step 4: Simplify right side
    2,641.02x = 6,003,936.39
  5. Step 5: Solve for x
    x = 6,003,936.39/2,641.02
  6. Step 6: Final answer
    x = 2,273.34

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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.