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Finding the Fourth Proportional to 2,154.47, 3,231.70 and 693.83

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Solution

The fourth proportional to 2,154.47, 3,231.70 and 693.83 is: 1,040.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,154.47 : 3,231.70 = 693.83 : x
  2. Step 2: Convert to fraction form
    2,154.47/3,231.70 = 693.83/x
  3. Step 3: Cross multiply
    2,154.47x = 3,231.70 × 693.83
  4. Step 4: Simplify right side
    2,154.47x = 2,242,256.76
  5. Step 5: Solve for x
    x = 2,242,256.76/2,154.47
  6. Step 6: Final answer
    x = 1,040.75

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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.