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Finding the Fourth Proportional to 2,134.41, 2,945.79 and 2,041.01

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Solution

The fourth proportional to 2,134.41, 2,945.79 and 2,041.01 is: 2,816.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,134.41 : 2,945.79 = 2,041.01 : x
  2. Step 2: Convert to fraction form
    2,134.41/2,945.79 = 2,041.01/x
  3. Step 3: Cross multiply
    2,134.41x = 2,945.79 × 2,041.01
  4. Step 4: Simplify right side
    2,134.41x = 6,012,383.17
  5. Step 5: Solve for x
    x = 6,012,383.17/2,134.41
  6. Step 6: Final answer
    x = 2,816.89

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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.