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Finding the Fourth Proportional to 4,900.16, 7,349.76 and 1,614.88

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Solution

The fourth proportional to 4,900.16, 7,349.76 and 1,614.88 is: 2,422.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,900.16 : 7,349.76 = 1,614.88 : x
  2. Step 2: Convert to fraction form
    4,900.16/7,349.76 = 1,614.88/x
  3. Step 3: Cross multiply
    4,900.16x = 7,349.76 × 1,614.88
  4. Step 4: Simplify right side
    4,900.16x = 11,868,980.43
  5. Step 5: Solve for x
    x = 11,868,980.43/4,900.16
  6. Step 6: Final answer
    x = 2,422.16

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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.