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Finding the Fourth Proportional to 1,391.90, 1,921.24 and 802.82

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Solution

The fourth proportional to 1,391.90, 1,921.24 and 802.82 is: 1,108.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,391.90 : 1,921.24 = 802.82 : x
  2. Step 2: Convert to fraction form
    1,391.90/1,921.24 = 802.82/x
  3. Step 3: Cross multiply
    1,391.90x = 1,921.24 × 802.82
  4. Step 4: Simplify right side
    1,391.90x = 1,542,409.90
  5. Step 5: Solve for x
    x = 1,542,409.90/1,391.90
  6. Step 6: Final answer
    x = 1,108.13

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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.