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Finding the Fourth Proportional to 2,774.70, 3,828.87 and 1,595.54

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Solution

The fourth proportional to 2,774.70, 3,828.87 and 1,595.54 is: 2,201.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774.70 : 3,828.87 = 1,595.54 : x
  2. Step 2: Convert to fraction form
    2,774.70/3,828.87 = 1,595.54/x
  3. Step 3: Cross multiply
    2,774.70x = 3,828.87 × 1,595.54
  4. Step 4: Simplify right side
    2,774.70x = 6,109,124.81
  5. Step 5: Solve for x
    x = 6,109,124.81/2,774.70
  6. Step 6: Final answer
    x = 2,201.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.