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Finding the Fourth Proportional to 2,013.54, 3,021.34 and 917.76

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Solution

The fourth proportional to 2,013.54, 3,021.34 and 917.76 is: 1,377.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,013.54 : 3,021.34 = 917.76 : x
  2. Step 2: Convert to fraction form
    2,013.54/3,021.34 = 917.76/x
  3. Step 3: Cross multiply
    2,013.54x = 3,021.34 × 917.76
  4. Step 4: Simplify right side
    2,013.54x = 2,772,860.41
  5. Step 5: Solve for x
    x = 2,772,860.41/2,013.54
  6. Step 6: Final answer
    x = 1,377.11

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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.