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Finding the Fourth Proportional to 3,248.16, 4,483.20 and 1,922.64

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Solution

The fourth proportional to 3,248.16, 4,483.20 and 1,922.64 is: 2,653.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,248.16 : 4,483.20 = 1,922.64 : x
  2. Step 2: Convert to fraction form
    3,248.16/4,483.20 = 1,922.64/x
  3. Step 3: Cross multiply
    3,248.16x = 4,483.20 × 1,922.64
  4. Step 4: Simplify right side
    3,248.16x = 8,619,579.65
  5. Step 5: Solve for x
    x = 8,619,579.65/3,248.16
  6. Step 6: Final answer
    x = 2,653.68

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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.