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Finding the Fourth Proportional to 3,122.19, 4,686.12 and 1,662.57

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Solution

The fourth proportional to 3,122.19, 4,686.12 and 1,662.57 is: 2,495.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,122.19 : 4,686.12 = 1,662.57 : x
  2. Step 2: Convert to fraction form
    3,122.19/4,686.12 = 1,662.57/x
  3. Step 3: Cross multiply
    3,122.19x = 4,686.12 × 1,662.57
  4. Step 4: Simplify right side
    3,122.19x = 7,791,002.53
  5. Step 5: Solve for x
    x = 7,791,002.53/3,122.19
  6. Step 6: Final answer
    x = 2,495.36

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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.