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Finding the Fourth Proportional to 3,601.60, 4,970.17 and 2,029.69

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Solution

The fourth proportional to 3,601.60, 4,970.17 and 2,029.69 is: 2,800.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,601.60 : 4,970.17 = 2,029.69 : x
  2. Step 2: Convert to fraction form
    3,601.60/4,970.17 = 2,029.69/x
  3. Step 3: Cross multiply
    3,601.60x = 4,970.17 × 2,029.69
  4. Step 4: Simplify right side
    3,601.60x = 10,087,904.35
  5. Step 5: Solve for x
    x = 10,087,904.35/3,601.60
  6. Step 6: Final answer
    x = 2,800.95

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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.