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Finding the Fourth Proportional to 1,844.10, 2,762.10 and 1,601.10

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Solution

The fourth proportional to 1,844.10, 2,762.10 and 1,601.10 is: 2,398.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,844.10 : 2,762.10 = 1,601.10 : x
  2. Step 2: Convert to fraction form
    1,844.10/2,762.10 = 1,601.10/x
  3. Step 3: Cross multiply
    1,844.10x = 2,762.10 × 1,601.10
  4. Step 4: Simplify right side
    1,844.10x = 4,422,398.31
  5. Step 5: Solve for x
    x = 4,422,398.31/1,844.10
  6. Step 6: Final answer
    x = 2,398.13

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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.