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Finding the Fourth Proportional to 1,728.06, 2,384.70 and 942.10

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Solution

The fourth proportional to 1,728.06, 2,384.70 and 942.10 is: 1,300.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,728.06 : 2,384.70 = 942.10 : x
  2. Step 2: Convert to fraction form
    1,728.06/2,384.70 = 942.10/x
  3. Step 3: Cross multiply
    1,728.06x = 2,384.70 × 942.10
  4. Step 4: Simplify right side
    1,728.06x = 2,246,625.87
  5. Step 5: Solve for x
    x = 2,246,625.87/1,728.06
  6. Step 6: Final answer
    x = 1,300.09

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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.