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Finding the Fourth Proportional to 2,051.09, 3,076.59 and 590.23

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Solution

The fourth proportional to 2,051.09, 3,076.59 and 590.23 is: 885.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,051.09 : 3,076.59 = 590.23 : x
  2. Step 2: Convert to fraction form
    2,051.09/3,076.59 = 590.23/x
  3. Step 3: Cross multiply
    2,051.09x = 3,076.59 × 590.23
  4. Step 4: Simplify right side
    2,051.09x = 1,815,901.77
  5. Step 5: Solve for x
    x = 1,815,901.77/2,051.09
  6. Step 6: Final answer
    x = 885.34

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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.