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Finding the Fourth Proportional to 1,893.80, 2,609.28 and 1,655.96

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Solution

The fourth proportional to 1,893.80, 2,609.28 and 1,655.96 is: 2,281.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,893.80 : 2,609.28 = 1,655.96 : x
  2. Step 2: Convert to fraction form
    1,893.80/2,609.28 = 1,655.96/x
  3. Step 3: Cross multiply
    1,893.80x = 2,609.28 × 1,655.96
  4. Step 4: Simplify right side
    1,893.80x = 4,320,863.31
  5. Step 5: Solve for x
    x = 4,320,863.31/1,893.80
  6. Step 6: Final answer
    x = 2,281.58

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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.