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Finding the Fourth Proportional to 2,035.49, 2,807.05 and 1,327.88

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Solution

The fourth proportional to 2,035.49, 2,807.05 and 1,327.88 is: 1,831.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,035.49 : 2,807.05 = 1,327.88 : x
  2. Step 2: Convert to fraction form
    2,035.49/2,807.05 = 1,327.88/x
  3. Step 3: Cross multiply
    2,035.49x = 2,807.05 × 1,327.88
  4. Step 4: Simplify right side
    2,035.49x = 3,727,425.55
  5. Step 5: Solve for x
    x = 3,727,425.55/2,035.49
  6. Step 6: Final answer
    x = 1,831.22

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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.