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Finding the Fourth Proportional to 2,952.20, 4,074 and 1,833.08

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Solution

The fourth proportional to 2,952.20, 4,074 and 1,833.08 is: 2,529.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,952.20 : 4,074 = 1,833.08 : x
  2. Step 2: Convert to fraction form
    2,952.20/4,074 = 1,833.08/x
  3. Step 3: Cross multiply
    2,952.20x = 4,074 × 1,833.08
  4. Step 4: Simplify right side
    2,952.20x = 7,467,967.92
  5. Step 5: Solve for x
    x = 7,467,967.92/2,952.20
  6. Step 6: Final answer
    x = 2,529.63

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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.