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Finding the Fourth Proportional to 3,601.53, 4,970.16 and 2,029.66

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Solution

The fourth proportional to 3,601.53, 4,970.16 and 2,029.66 is: 2,800.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,601.53 : 4,970.16 = 2,029.66 : x
  2. Step 2: Convert to fraction form
    3,601.53/4,970.16 = 2,029.66/x
  3. Step 3: Cross multiply
    3,601.53x = 4,970.16 × 2,029.66
  4. Step 4: Simplify right side
    3,601.53x = 10,087,722.52
  5. Step 5: Solve for x
    x = 10,087,722.52/3,601.53
  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.