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Finding the Fourth Proportional to 2,051.55, 3,076.61 and 590.31

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Solution

The fourth proportional to 2,051.55, 3,076.61 and 590.31 is: 885.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,051.55 : 3,076.61 = 590.31 : x
  2. Step 2: Convert to fraction form
    2,051.55/3,076.61 = 590.31/x
  3. Step 3: Cross multiply
    2,051.55x = 3,076.61 × 590.31
  4. Step 4: Simplify right side
    2,051.55x = 1,816,150.70
  5. Step 5: Solve for x
    x = 1,816,150.70/2,051.55
  6. Step 6: Final answer
    x = 885.26

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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.