Home / 1,728.06-2,384.74-942.11

Finding the Fourth Proportional to 1,728.06, 2,384.74 and 942.11

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Solution

The fourth proportional to 1,728.06, 2,384.74 and 942.11 is: 1,300.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,728.06 : 2,384.74 = 942.11 : x
  2. Step 2: Convert to fraction form
    1,728.06/2,384.74 = 942.11/x
  3. Step 3: Cross multiply
    1,728.06x = 2,384.74 × 942.11
  4. Step 4: Simplify right side
    1,728.06x = 2,246,678.89
  5. Step 5: Solve for x
    x = 2,246,678.89/1,728.06
  6. Step 6: Final answer
    x = 1,300.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.