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Finding the Fourth Proportional to 3,049.57, 4,570.62 and 1,293.90

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Solution

The fourth proportional to 3,049.57, 4,570.62 and 1,293.90 is: 1,939.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,049.57 : 4,570.62 = 1,293.90 : x
  2. Step 2: Convert to fraction form
    3,049.57/4,570.62 = 1,293.90/x
  3. Step 3: Cross multiply
    3,049.57x = 4,570.62 × 1,293.90
  4. Step 4: Simplify right side
    3,049.57x = 5,913,925.22
  5. Step 5: Solve for x
    x = 5,913,925.22/3,049.57
  6. Step 6: Final answer
    x = 1,939.27

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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.