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Finding the Fourth Proportional to 2,103.67, 2,897.59 and 1,601.47

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Solution

The fourth proportional to 2,103.67, 2,897.59 and 1,601.47 is: 2,205.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103.67 : 2,897.59 = 1,601.47 : x
  2. Step 2: Convert to fraction form
    2,103.67/2,897.59 = 1,601.47/x
  3. Step 3: Cross multiply
    2,103.67x = 2,897.59 × 1,601.47
  4. Step 4: Simplify right side
    2,103.67x = 4,640,403.46
  5. Step 5: Solve for x
    x = 4,640,403.46/2,103.67
  6. Step 6: Final answer
    x = 2,205.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.