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Finding the Fourth Proportional to 2,177.58, 3,005.04 and 1,182.88

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Solution

The fourth proportional to 2,177.58, 3,005.04 and 1,182.88 is: 1,632.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,177.58 : 3,005.04 = 1,182.88 : x
  2. Step 2: Convert to fraction form
    2,177.58/3,005.04 = 1,182.88/x
  3. Step 3: Cross multiply
    2,177.58x = 3,005.04 × 1,182.88
  4. Step 4: Simplify right side
    2,177.58x = 3,554,593.14
  5. Step 5: Solve for x
    x = 3,554,593.14/2,177.58
  6. Step 6: Final answer
    x = 1,632.36

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