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Finding the Fourth Proportional to 2,090.62, 3,135.69 and 551.74

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Solution

The fourth proportional to 2,090.62, 3,135.69 and 551.74 is: 827.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,090.62 : 3,135.69 = 551.74 : x
  2. Step 2: Convert to fraction form
    2,090.62/3,135.69 = 551.74/x
  3. Step 3: Cross multiply
    2,090.62x = 3,135.69 × 551.74
  4. Step 4: Simplify right side
    2,090.62x = 1,730,085.60
  5. Step 5: Solve for x
    x = 1,730,085.60/2,090.62
  6. Step 6: Final answer
    x = 827.55

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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.