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Finding the Fourth Proportional to 2,603.30, 3,590.15 and 1,765.22

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Solution

The fourth proportional to 2,603.30, 3,590.15 and 1,765.22 is: 2,434.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,603.30 : 3,590.15 = 1,765.22 : x
  2. Step 2: Convert to fraction form
    2,603.30/3,590.15 = 1,765.22/x
  3. Step 3: Cross multiply
    2,603.30x = 3,590.15 × 1,765.22
  4. Step 4: Simplify right side
    2,603.30x = 6,337,404.58
  5. Step 5: Solve for x
    x = 6,337,404.58/2,603.30
  6. Step 6: Final answer
    x = 2,434.37

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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.