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Finding the Fourth Proportional to 2,168.18, 3,252.28 and 707.32

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Solution

The fourth proportional to 2,168.18, 3,252.28 and 707.32 is: 1,060.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,168.18 : 3,252.28 = 707.32 : x
  2. Step 2: Convert to fraction form
    2,168.18/3,252.28 = 707.32/x
  3. Step 3: Cross multiply
    2,168.18x = 3,252.28 × 707.32
  4. Step 4: Simplify right side
    2,168.18x = 2,300,402.69
  5. Step 5: Solve for x
    x = 2,300,402.69/2,168.18
  6. Step 6: Final answer
    x = 1,060.98

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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.