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Finding the Fourth Proportional to 1,854.63, 2,544.75 and 1,837.21

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Solution

The fourth proportional to 1,854.63, 2,544.75 and 1,837.21 is: 2,520.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,854.63 : 2,544.75 = 1,837.21 : x
  2. Step 2: Convert to fraction form
    1,854.63/2,544.75 = 1,837.21/x
  3. Step 3: Cross multiply
    1,854.63x = 2,544.75 × 1,837.21
  4. Step 4: Simplify right side
    1,854.63x = 4,675,240.15
  5. Step 5: Solve for x
    x = 4,675,240.15/1,854.63
  6. Step 6: Final answer
    x = 2,520.85

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.