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Finding the Fourth Proportional to 2,606.40, 3,595.10 and 1,610.42

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Solution

The fourth proportional to 2,606.40, 3,595.10 and 1,610.42 is: 2,221.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,606.40 : 3,595.10 = 1,610.42 : x
  2. Step 2: Convert to fraction form
    2,606.40/3,595.10 = 1,610.42/x
  3. Step 3: Cross multiply
    2,606.40x = 3,595.10 × 1,610.42
  4. Step 4: Simplify right side
    2,606.40x = 5,789,594.91
  5. Step 5: Solve for x
    x = 5,789,594.91/2,606.40
  6. Step 6: Final answer
    x = 2,221.30

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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.