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Finding the Fourth Proportional to 2,970.64, 4,098.99 and 1,908.64

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Solution

The fourth proportional to 2,970.64, 4,098.99 and 1,908.64 is: 2,633.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,970.64 : 4,098.99 = 1,908.64 : x
  2. Step 2: Convert to fraction form
    2,970.64/4,098.99 = 1,908.64/x
  3. Step 3: Cross multiply
    2,970.64x = 4,098.99 × 1,908.64
  4. Step 4: Simplify right side
    2,970.64x = 7,823,496.27
  5. Step 5: Solve for x
    x = 7,823,496.27/2,970.64
  6. Step 6: Final answer
    x = 2,633.61

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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.