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Finding the Fourth Proportional to 2,903.58, 4,006.06 and 1,644.44

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Solution

The fourth proportional to 2,903.58, 4,006.06 and 1,644.44 is: 2,268.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,903.58 : 4,006.06 = 1,644.44 : x
  2. Step 2: Convert to fraction form
    2,903.58/4,006.06 = 1,644.44/x
  3. Step 3: Cross multiply
    2,903.58x = 4,006.06 × 1,644.44
  4. Step 4: Simplify right side
    2,903.58x = 6,587,701.17
  5. Step 5: Solve for x
    x = 6,587,701.17/2,903.58
  6. Step 6: Final answer
    x = 2,268.82

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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.