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Finding the Fourth Proportional to 2,014.32, 3,021.45 and 553.58

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Solution

The fourth proportional to 2,014.32, 3,021.45 and 553.58 is: 830.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014.32 : 3,021.45 = 553.58 : x
  2. Step 2: Convert to fraction form
    2,014.32/3,021.45 = 553.58/x
  3. Step 3: Cross multiply
    2,014.32x = 3,021.45 × 553.58
  4. Step 4: Simplify right side
    2,014.32x = 1,672,614.29
  5. Step 5: Solve for x
    x = 1,672,614.29/2,014.32
  6. Step 6: Final answer
    x = 830.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.