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Finding the Fourth Proportional to 2,014.71, 3,021.85 and 918.78

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Solution

The fourth proportional to 2,014.71, 3,021.85 and 918.78 is: 1,378.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014.71 : 3,021.85 = 918.78 : x
  2. Step 2: Convert to fraction form
    2,014.71/3,021.85 = 918.78/x
  3. Step 3: Cross multiply
    2,014.71x = 3,021.85 × 918.78
  4. Step 4: Simplify right side
    2,014.71x = 2,776,415.34
  5. Step 5: Solve for x
    x = 2,776,415.34/2,014.71
  6. Step 6: Final answer
    x = 1,378.07

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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.