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Finding the Fourth Proportional to 2,168.34, 3,252.16 and 707.16

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Solution

The fourth proportional to 2,168.34, 3,252.16 and 707.16 is: 1,060.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,168.34 : 3,252.16 = 707.16 : x
  2. Step 2: Convert to fraction form
    2,168.34/3,252.16 = 707.16/x
  3. Step 3: Cross multiply
    2,168.34x = 3,252.16 × 707.16
  4. Step 4: Simplify right side
    2,168.34x = 2,299,797.47
  5. Step 5: Solve for x
    x = 2,299,797.47/2,168.34
  6. Step 6: Final answer
    x = 1,060.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.