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Finding the Fourth Proportional to 2,550.84, 3,827.52 and 1,883.76

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Solution

The fourth proportional to 2,550.84, 3,827.52 and 1,883.76 is: 2,826.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,550.84 : 3,827.52 = 1,883.76 : x
  2. Step 2: Convert to fraction form
    2,550.84/3,827.52 = 1,883.76/x
  3. Step 3: Cross multiply
    2,550.84x = 3,827.52 × 1,883.76
  4. Step 4: Simplify right side
    2,550.84x = 7,210,129.08
  5. Step 5: Solve for x
    x = 7,210,129.08/2,550.84
  6. Step 6: Final answer
    x = 2,826.57

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1.5x scale

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.