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Finding the Fourth Proportional to 1,670.64, 2,517.24 and 1,384.50

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Solution

The fourth proportional to 1,670.64, 2,517.24 and 1,384.50 is: 2,086.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,670.64 : 2,517.24 = 1,384.50 : x
  2. Step 2: Convert to fraction form
    1,670.64/2,517.24 = 1,384.50/x
  3. Step 3: Cross multiply
    1,670.64x = 2,517.24 × 1,384.50
  4. Step 4: Simplify right side
    1,670.64x = 3,485,111.86
  5. Step 5: Solve for x
    x = 3,485,111.86/1,670.64
  6. Step 6: Final answer
    x = 2,086.09

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.