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Finding the Fourth Proportional to 2,012.64, 3,019.05 and 551.94

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Solution

The fourth proportional to 2,012.64, 3,019.05 and 551.94 is: 827.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,012.64 : 3,019.05 = 551.94 : x
  2. Step 2: Convert to fraction form
    2,012.64/3,019.05 = 551.94/x
  3. Step 3: Cross multiply
    2,012.64x = 3,019.05 × 551.94
  4. Step 4: Simplify right side
    2,012.64x = 1,666,334.46
  5. Step 5: Solve for x
    x = 1,666,334.46/2,012.64
  6. Step 6: Final answer
    x = 827.93

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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.