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Finding the Fourth Proportional to 1,868.24, 2,801.70 and 551.64

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Solution

The fourth proportional to 1,868.24, 2,801.70 and 551.64 is: 827.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,868.24 : 2,801.70 = 551.64 : x
  2. Step 2: Convert to fraction form
    1,868.24/2,801.70 = 551.64/x
  3. Step 3: Cross multiply
    1,868.24x = 2,801.70 × 551.64
  4. Step 4: Simplify right side
    1,868.24x = 1,545,529.79
  5. Step 5: Solve for x
    x = 1,545,529.79/1,868.24
  6. Step 6: Final answer
    x = 827.27

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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.