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Finding the Fourth Proportional to 1,782.50, 2,673.86 and 550.76

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Solution

The fourth proportional to 1,782.50, 2,673.86 and 550.76 is: 826.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782.50 : 2,673.86 = 550.76 : x
  2. Step 2: Convert to fraction form
    1,782.50/2,673.86 = 550.76/x
  3. Step 3: Cross multiply
    1,782.50x = 2,673.86 × 550.76
  4. Step 4: Simplify right side
    1,782.50x = 1,472,639.01
  5. Step 5: Solve for x
    x = 1,472,639.01/1,782.50
  6. Step 6: Final answer
    x = 826.17

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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.