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Finding the Fourth Proportional to 1,664.10, 2,334.60 and 1,664.10

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Solution

The fourth proportional to 1,664.10, 2,334.60 and 1,664.10 is: 2,334.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,664.10 : 2,334.60 = 1,664.10 : x
  2. Step 2: Convert to fraction form
    1,664.10/2,334.60 = 1,664.10/x
  3. Step 3: Cross multiply
    1,664.10x = 2,334.60 × 1,664.10
  4. Step 4: Simplify right side
    1,664.10x = 3,885,007.86
  5. Step 5: Solve for x
    x = 3,885,007.86/1,664.10
  6. Step 6: Final answer
    x = 2,334.60

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.