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Finding the Fourth Proportional to 3,062, 4,225.66 and 1,664.84

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Solution

The fourth proportional to 3,062, 4,225.66 and 1,664.84 is: 2,297.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,062 : 4,225.66 = 1,664.84 : x
  2. Step 2: Convert to fraction form
    3,062/4,225.66 = 1,664.84/x
  3. Step 3: Cross multiply
    3,062x = 4,225.66 × 1,664.84
  4. Step 4: Simplify right side
    3,062x = 7,035,047.79
  5. Step 5: Solve for x
    x = 7,035,047.79/3,062
  6. Step 6: Final answer
    x = 2,297.53

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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.