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Finding the Fourth Proportional to 2,605.70, 3,595.46 and 1,611.30

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Solution

The fourth proportional to 2,605.70, 3,595.46 and 1,611.30 is: 2,223.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,605.70 : 3,595.46 = 1,611.30 : x
  2. Step 2: Convert to fraction form
    2,605.70/3,595.46 = 1,611.30/x
  3. Step 3: Cross multiply
    2,605.70x = 3,595.46 × 1,611.30
  4. Step 4: Simplify right side
    2,605.70x = 5,793,364.70
  5. Step 5: Solve for x
    x = 5,793,364.70/2,605.70
  6. Step 6: Final answer
    x = 2,223.34

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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.