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Finding the Fourth Proportional to 1,884.57, 2,602.89 and 1,775.22

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Solution

The fourth proportional to 1,884.57, 2,602.89 and 1,775.22 is: 2,451.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,884.57 : 2,602.89 = 1,775.22 : x
  2. Step 2: Convert to fraction form
    1,884.57/2,602.89 = 1,775.22/x
  3. Step 3: Cross multiply
    1,884.57x = 2,602.89 × 1,775.22
  4. Step 4: Simplify right side
    1,884.57x = 4,620,702.39
  5. Step 5: Solve for x
    x = 4,620,702.39/1,884.57
  6. Step 6: Final answer
    x = 2,451.86

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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.