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Finding the Fourth Proportional to 2,060.93, 3,091.05 and 580.25

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Solution

The fourth proportional to 2,060.93, 3,091.05 and 580.25 is: 870.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,060.93 : 3,091.05 = 580.25 : x
  2. Step 2: Convert to fraction form
    2,060.93/3,091.05 = 580.25/x
  3. Step 3: Cross multiply
    2,060.93x = 3,091.05 × 580.25
  4. Step 4: Simplify right side
    2,060.93x = 1,793,566.31
  5. Step 5: Solve for x
    x = 1,793,566.31/2,060.93
  6. Step 6: Final answer
    x = 870.27

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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.