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Finding the Fourth Proportional to 2,603.77, 3,594.77 and 1,610.38

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Solution

The fourth proportional to 2,603.77, 3,594.77 and 1,610.38 is: 2,223.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,603.77 : 3,594.77 = 1,610.38 : x
  2. Step 2: Convert to fraction form
    2,603.77/3,594.77 = 1,610.38/x
  3. Step 3: Cross multiply
    2,603.77x = 3,594.77 × 1,610.38
  4. Step 4: Simplify right side
    2,603.77x = 5,788,945.71
  5. Step 5: Solve for x
    x = 5,788,945.71/2,603.77
  6. Step 6: Final answer
    x = 2,223.29

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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.