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Finding the Fourth Proportional to 1,826.70, 2,744.10 and 1,752.90

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Solution

The fourth proportional to 1,826.70, 2,744.10 and 1,752.90 is: 2,633.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,826.70 : 2,744.10 = 1,752.90 : x
  2. Step 2: Convert to fraction form
    1,826.70/2,744.10 = 1,752.90/x
  3. Step 3: Cross multiply
    1,826.70x = 2,744.10 × 1,752.90
  4. Step 4: Simplify right side
    1,826.70x = 4,810,132.89
  5. Step 5: Solve for x
    x = 4,810,132.89/1,826.70
  6. Step 6: Final answer
    x = 2,633.24

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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.