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Finding the Fourth Proportional to 2,036.52, 3,054.24 and 882

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Solution

The fourth proportional to 2,036.52, 3,054.24 and 882 is: 1,322.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,036.52 : 3,054.24 = 882 : x
  2. Step 2: Convert to fraction form
    2,036.52/3,054.24 = 882/x
  3. Step 3: Cross multiply
    2,036.52x = 3,054.24 × 882
  4. Step 4: Simplify right side
    2,036.52x = 2,693,839.68
  5. Step 5: Solve for x
    x = 2,693,839.68/2,036.52
  6. Step 6: Final answer
    x = 1,322.77

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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.