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Finding the Fourth Proportional to 1,662.66, 2,491.56 and 1,552.10

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Solution

The fourth proportional to 1,662.66, 2,491.56 and 1,552.10 is: 2,325.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,662.66 : 2,491.56 = 1,552.10 : x
  2. Step 2: Convert to fraction form
    1,662.66/2,491.56 = 1,552.10/x
  3. Step 3: Cross multiply
    1,662.66x = 2,491.56 × 1,552.10
  4. Step 4: Simplify right side
    1,662.66x = 3,867,137.82
  5. Step 5: Solve for x
    x = 3,867,137.82/1,662.66
  6. Step 6: Final answer
    x = 2,325.87

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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.