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Finding the Fourth Proportional to 1,851.08, 2,535.04 and 1,826.78

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Solution

The fourth proportional to 1,851.08, 2,535.04 and 1,826.78 is: 2,501.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,851.08 : 2,535.04 = 1,826.78 : x
  2. Step 2: Convert to fraction form
    1,851.08/2,535.04 = 1,826.78/x
  3. Step 3: Cross multiply
    1,851.08x = 2,535.04 × 1,826.78
  4. Step 4: Simplify right side
    1,851.08x = 4,630,960.37
  5. Step 5: Solve for x
    x = 4,630,960.37/1,851.08
  6. Step 6: Final answer
    x = 2,501.76

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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.