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Finding the Fourth Proportional to 2,062.72, 3,095.55 and 830.47

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Solution

The fourth proportional to 2,062.72, 3,095.55 and 830.47 is: 1,246.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,062.72 : 3,095.55 = 830.47 : x
  2. Step 2: Convert to fraction form
    2,062.72/3,095.55 = 830.47/x
  3. Step 3: Cross multiply
    2,062.72x = 3,095.55 × 830.47
  4. Step 4: Simplify right side
    2,062.72x = 2,570,761.41
  5. Step 5: Solve for x
    x = 2,570,761.41/2,062.72
  6. Step 6: Final answer
    x = 1,246.30

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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.