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Finding the Fourth Proportional to 2,765.63, 3,822.03 and 2,470.38

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Solution

The fourth proportional to 2,765.63, 3,822.03 and 2,470.38 is: 3,414.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,765.63 : 3,822.03 = 2,470.38 : x
  2. Step 2: Convert to fraction form
    2,765.63/3,822.03 = 2,470.38/x
  3. Step 3: Cross multiply
    2,765.63x = 3,822.03 × 2,470.38
  4. Step 4: Simplify right side
    2,765.63x = 9,441,866.47
  5. Step 5: Solve for x
    x = 9,441,866.47/2,765.63
  6. Step 6: Final answer
    x = 3,414.01

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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.