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Finding the Fourth Proportional to 2,175.52, 3,263.08 and 714.64

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Solution

The fourth proportional to 2,175.52, 3,263.08 and 714.64 is: 1,071.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,175.52 : 3,263.08 = 714.64 : x
  2. Step 2: Convert to fraction form
    2,175.52/3,263.08 = 714.64/x
  3. Step 3: Cross multiply
    2,175.52x = 3,263.08 × 714.64
  4. Step 4: Simplify right side
    2,175.52x = 2,331,927.49
  5. Step 5: Solve for x
    x = 2,331,927.49/2,175.52
  6. Step 6: Final answer
    x = 1,071.89

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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.