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Finding the Fourth Proportional to 2,176.52, 3,004.45 and 1,468.78

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Solution

The fourth proportional to 2,176.52, 3,004.45 and 1,468.78 is: 2,027.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,176.52 : 3,004.45 = 1,468.78 : x
  2. Step 2: Convert to fraction form
    2,176.52/3,004.45 = 1,468.78/x
  3. Step 3: Cross multiply
    2,176.52x = 3,004.45 × 1,468.78
  4. Step 4: Simplify right side
    2,176.52x = 4,412,884.42
  5. Step 5: Solve for x
    x = 4,412,884.42/2,176.52
  6. Step 6: Final answer
    x = 2,027.50

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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.