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Finding the Fourth Proportional to 2,051.50, 3,076.88 and 590.36

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Solution

The fourth proportional to 2,051.50, 3,076.88 and 590.36 is: 885.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,051.50 : 3,076.88 = 590.36 : x
  2. Step 2: Convert to fraction form
    2,051.50/3,076.88 = 590.36/x
  3. Step 3: Cross multiply
    2,051.50x = 3,076.88 × 590.36
  4. Step 4: Simplify right side
    2,051.50x = 1,816,466.88
  5. Step 5: Solve for x
    x = 1,816,466.88/2,051.50
  6. Step 6: Final answer
    x = 885.43

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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.