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Finding the Fourth Proportional to 2,601.08, 3,901.62 and 1,061

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Solution

The fourth proportional to 2,601.08, 3,901.62 and 1,061 is: 1,591.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,601.08 : 3,901.62 = 1,061 : x
  2. Step 2: Convert to fraction form
    2,601.08/3,901.62 = 1,061/x
  3. Step 3: Cross multiply
    2,601.08x = 3,901.62 × 1,061
  4. Step 4: Simplify right side
    2,601.08x = 4,139,618.82
  5. Step 5: Solve for x
    x = 4,139,618.82/2,601.08
  6. Step 6: Final answer
    x = 1,591.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.