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Finding the Fourth Proportional to 2,332.06, 3,497.03 and 688.03

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Solution

The fourth proportional to 2,332.06, 3,497.03 and 688.03 is: 1,031.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,332.06 : 3,497.03 = 688.03 : x
  2. Step 2: Convert to fraction form
    2,332.06/3,497.03 = 688.03/x
  3. Step 3: Cross multiply
    2,332.06x = 3,497.03 × 688.03
  4. Step 4: Simplify right side
    2,332.06x = 2,406,044.07
  5. Step 5: Solve for x
    x = 2,406,044.07/2,332.06
  6. Step 6: Final answer
    x = 1,031.73

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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.