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Finding the Fourth Proportional to 2,014.84, 3,021.45 and 918.91

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Solution

The fourth proportional to 2,014.84, 3,021.45 and 918.91 is: 1,378.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014.84 : 3,021.45 = 918.91 : x
  2. Step 2: Convert to fraction form
    2,014.84/3,021.45 = 918.91/x
  3. Step 3: Cross multiply
    2,014.84x = 3,021.45 × 918.91
  4. Step 4: Simplify right side
    2,014.84x = 2,776,440.62
  5. Step 5: Solve for x
    x = 2,776,440.62/2,014.84
  6. Step 6: Final answer
    x = 1,378.00

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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.