Home / 1,392.12-1,921.10-802.68

Finding the Fourth Proportional to 1,392.12, 1,921.10 and 802.68

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Solution

The fourth proportional to 1,392.12, 1,921.10 and 802.68 is: 1,107.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,392.12 : 1,921.10 = 802.68 : x
  2. Step 2: Convert to fraction form
    1,392.12/1,921.10 = 802.68/x
  3. Step 3: Cross multiply
    1,392.12x = 1,921.10 × 802.68
  4. Step 4: Simplify right side
    1,392.12x = 1,542,028.55
  5. Step 5: Solve for x
    x = 1,542,028.55/1,392.12
  6. Step 6: Final answer
    x = 1,107.68

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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.