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Finding the Fourth Proportional to 2,057.61, 3,086.76 and 670.55

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Solution

The fourth proportional to 2,057.61, 3,086.76 and 670.55 is: 1,005.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057.61 : 3,086.76 = 670.55 : x
  2. Step 2: Convert to fraction form
    2,057.61/3,086.76 = 670.55/x
  3. Step 3: Cross multiply
    2,057.61x = 3,086.76 × 670.55
  4. Step 4: Simplify right side
    2,057.61x = 2,069,811.48
  5. Step 5: Solve for x
    x = 2,069,811.48/2,057.61
  6. Step 6: Final answer
    x = 1,005.93

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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.