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Finding the Fourth Proportional to 2,186.52, 3,018.24 and 1,601.70

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Solution

The fourth proportional to 2,186.52, 3,018.24 and 1,601.70 is: 2,210.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,186.52 : 3,018.24 = 1,601.70 : x
  2. Step 2: Convert to fraction form
    2,186.52/3,018.24 = 1,601.70/x
  3. Step 3: Cross multiply
    2,186.52x = 3,018.24 × 1,601.70
  4. Step 4: Simplify right side
    2,186.52x = 4,834,315.01
  5. Step 5: Solve for x
    x = 4,834,315.01/2,186.52
  6. Step 6: Final answer
    x = 2,210.96

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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.