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Finding the Fourth Proportional to 2,051.06, 3,076.58 and 590.21

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Solution

The fourth proportional to 2,051.06, 3,076.58 and 590.21 is: 885.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,051.06 : 3,076.58 = 590.21 : x
  2. Step 2: Convert to fraction form
    2,051.06/3,076.58 = 590.21/x
  3. Step 3: Cross multiply
    2,051.06x = 3,076.58 × 590.21
  4. Step 4: Simplify right side
    2,051.06x = 1,815,814.37
  5. Step 5: Solve for x
    x = 1,815,814.37/2,051.06
  6. Step 6: Final answer
    x = 885.31

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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.