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Finding the Fourth Proportional to 2,322.54, 3,484.53 and 679.12

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Solution

The fourth proportional to 2,322.54, 3,484.53 and 679.12 is: 1,018.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,322.54 : 3,484.53 = 679.12 : x
  2. Step 2: Convert to fraction form
    2,322.54/3,484.53 = 679.12/x
  3. Step 3: Cross multiply
    2,322.54x = 3,484.53 × 679.12
  4. Step 4: Simplify right side
    2,322.54x = 2,366,405.30
  5. Step 5: Solve for x
    x = 2,366,405.30/2,322.54
  6. Step 6: Final answer
    x = 1,018.89

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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.