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Finding the Fourth Proportional to 2,052.56, 2,831.49 and 1,389.17

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Solution

The fourth proportional to 2,052.56, 2,831.49 and 1,389.17 is: 1,916.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,052.56 : 2,831.49 = 1,389.17 : x
  2. Step 2: Convert to fraction form
    2,052.56/2,831.49 = 1,389.17/x
  3. Step 3: Cross multiply
    2,052.56x = 2,831.49 × 1,389.17
  4. Step 4: Simplify right side
    2,052.56x = 3,933,420.96
  5. Step 5: Solve for x
    x = 3,933,420.96/2,052.56
  6. Step 6: Final answer
    x = 1,916.35

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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.