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Finding the Fourth Proportional to 1,392.24, 1,921.40 and 802.80

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Solution

The fourth proportional to 1,392.24, 1,921.40 and 802.80 is: 1,107.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,392.24 : 1,921.40 = 802.80 : x
  2. Step 2: Convert to fraction form
    1,392.24/1,921.40 = 802.80/x
  3. Step 3: Cross multiply
    1,392.24x = 1,921.40 × 802.80
  4. Step 4: Simplify right side
    1,392.24x = 1,542,499.92
  5. Step 5: Solve for x
    x = 1,542,499.92/1,392.24
  6. Step 6: Final answer
    x = 1,107.93

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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.