Home / 1,728.09-2,384.78-942.15

Finding the Fourth Proportional to 1,728.09, 2,384.78 and 942.15

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Solution

The fourth proportional to 1,728.09, 2,384.78 and 942.15 is: 1,300.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,728.09 : 2,384.78 = 942.15 : x
  2. Step 2: Convert to fraction form
    1,728.09/2,384.78 = 942.15/x
  3. Step 3: Cross multiply
    1,728.09x = 2,384.78 × 942.15
  4. Step 4: Simplify right side
    1,728.09x = 2,246,815.77
  5. Step 5: Solve for x
    x = 2,246,815.77/1,728.09
  6. Step 6: Final answer
    x = 1,300.17

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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.