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Finding the Fourth Proportional to 2,057.81, 3,087.21 and 597.07

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Solution

The fourth proportional to 2,057.81, 3,087.21 and 597.07 is: 895.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057.81 : 3,087.21 = 597.07 : x
  2. Step 2: Convert to fraction form
    2,057.81/3,087.21 = 597.07/x
  3. Step 3: Cross multiply
    2,057.81x = 3,087.21 × 597.07
  4. Step 4: Simplify right side
    2,057.81x = 1,843,280.47
  5. Step 5: Solve for x
    x = 1,843,280.47/2,057.81
  6. Step 6: Final answer
    x = 895.75

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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.