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Finding the Fourth Proportional to 2,154.24, 3,232 and 693.76

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Solution

The fourth proportional to 2,154.24, 3,232 and 693.76 is: 1,040.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,154.24 : 3,232 = 693.76 : x
  2. Step 2: Convert to fraction form
    2,154.24/3,232 = 693.76/x
  3. Step 3: Cross multiply
    2,154.24x = 3,232 × 693.76
  4. Step 4: Simplify right side
    2,154.24x = 2,242,232.32
  5. Step 5: Solve for x
    x = 2,242,232.32/2,154.24
  6. Step 6: Final answer
    x = 1,040.85

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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.