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Finding the Fourth Proportional to 4,502.16, 6,748.92 and 1,422

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Solution

The fourth proportional to 4,502.16, 6,748.92 and 1,422 is: 2,131.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,502.16 : 6,748.92 = 1,422 : x
  2. Step 2: Convert to fraction form
    4,502.16/6,748.92 = 1,422/x
  3. Step 3: Cross multiply
    4,502.16x = 6,748.92 × 1,422
  4. Step 4: Simplify right side
    4,502.16x = 9,596,964.24
  5. Step 5: Solve for x
    x = 9,596,964.24/4,502.16
  6. Step 6: Final answer
    x = 2,131.64

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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.