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Finding the Fourth Proportional to 2,175.16, 3,262.96 and 714.32

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Solution

The fourth proportional to 2,175.16, 3,262.96 and 714.32 is: 1,071.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,175.16 : 3,262.96 = 714.32 : x
  2. Step 2: Convert to fraction form
    2,175.16/3,262.96 = 714.32/x
  3. Step 3: Cross multiply
    2,175.16x = 3,262.96 × 714.32
  4. Step 4: Simplify right side
    2,175.16x = 2,330,797.59
  5. Step 5: Solve for x
    x = 2,330,797.59/2,175.16
  6. Step 6: Final answer
    x = 1,071.55

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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.