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Finding the Fourth Proportional to 2,051.53, 3,076.99 and 590.49

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Solution

The fourth proportional to 2,051.53, 3,076.99 and 590.49 is: 885.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,051.53 : 3,076.99 = 590.49 : x
  2. Step 2: Convert to fraction form
    2,051.53/3,076.99 = 590.49/x
  3. Step 3: Cross multiply
    2,051.53x = 3,076.99 × 590.49
  4. Step 4: Simplify right side
    2,051.53x = 1,816,930.35
  5. Step 5: Solve for x
    x = 1,816,930.35/2,051.53
  6. Step 6: Final answer
    x = 885.65

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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.