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Finding the Fourth Proportional to 1,392.16, 1,921.17 and 802.81

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Solution

The fourth proportional to 1,392.16, 1,921.17 and 802.81 is: 1,107.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,392.16 : 1,921.17 = 802.81 : x
  2. Step 2: Convert to fraction form
    1,392.16/1,921.17 = 802.81/x
  3. Step 3: Cross multiply
    1,392.16x = 1,921.17 × 802.81
  4. Step 4: Simplify right side
    1,392.16x = 1,542,334.49
  5. Step 5: Solve for x
    x = 1,542,334.49/1,392.16
  6. Step 6: Final answer
    x = 1,107.87

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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.