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Finding the Fourth Proportional to 1,952.52, 2,924.55 and 1,212.32

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Solution

The fourth proportional to 1,952.52, 2,924.55 and 1,212.32 is: 1,815.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,952.52 : 2,924.55 = 1,212.32 : x
  2. Step 2: Convert to fraction form
    1,952.52/2,924.55 = 1,212.32/x
  3. Step 3: Cross multiply
    1,952.52x = 2,924.55 × 1,212.32
  4. Step 4: Simplify right side
    1,952.52x = 3,545,475.83
  5. Step 5: Solve for x
    x = 3,545,475.83/1,952.52
  6. Step 6: Final answer
    x = 1,815.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.