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Finding the Fourth Proportional to 3,008.46, 4,151.53 and 1,664.02

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Solution

The fourth proportional to 3,008.46, 4,151.53 and 1,664.02 is: 2,296.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,008.46 : 4,151.53 = 1,664.02 : x
  2. Step 2: Convert to fraction form
    3,008.46/4,151.53 = 1,664.02/x
  3. Step 3: Cross multiply
    3,008.46x = 4,151.53 × 1,664.02
  4. Step 4: Simplify right side
    3,008.46x = 6,908,214.41
  5. Step 5: Solve for x
    x = 6,908,214.41/3,008.46
  6. Step 6: Final answer
    x = 2,296.26

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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.