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Finding the Fourth Proportional to 1,592.07, 2,387.43 and 551.88

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Solution

The fourth proportional to 1,592.07, 2,387.43 and 551.88 is: 827.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,592.07 : 2,387.43 = 551.88 : x
  2. Step 2: Convert to fraction form
    1,592.07/2,387.43 = 551.88/x
  3. Step 3: Cross multiply
    1,592.07x = 2,387.43 × 551.88
  4. Step 4: Simplify right side
    1,592.07x = 1,317,574.87
  5. Step 5: Solve for x
    x = 1,317,574.87/1,592.07
  6. Step 6: Final answer
    x = 827.59

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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.