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Finding the Fourth Proportional to 1,887, 2,832.75 and 1,370.31

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Solution

The fourth proportional to 1,887, 2,832.75 and 1,370.31 is: 2,057.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,887 : 2,832.75 = 1,370.31 : x
  2. Step 2: Convert to fraction form
    1,887/2,832.75 = 1,370.31/x
  3. Step 3: Cross multiply
    1,887x = 2,832.75 × 1,370.31
  4. Step 4: Simplify right side
    1,887x = 3,881,745.65
  5. Step 5: Solve for x
    x = 3,881,745.65/1,887
  6. Step 6: Final answer
    x = 2,057.10

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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.