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Finding the Fourth Proportional to 1,968, 2,715.84 and 1,223.36

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Solution

The fourth proportional to 1,968, 2,715.84 and 1,223.36 is: 1,688.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,968 : 2,715.84 = 1,223.36 : x
  2. Step 2: Convert to fraction form
    1,968/2,715.84 = 1,223.36/x
  3. Step 3: Cross multiply
    1,968x = 2,715.84 × 1,223.36
  4. Step 4: Simplify right side
    1,968x = 3,322,450.02
  5. Step 5: Solve for x
    x = 3,322,450.02/1,968
  6. Step 6: Final answer
    x = 1,688.24

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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.