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Finding the Fourth Proportional to 2,030.86, 3,047.94 and 1,057.24

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Solution

The fourth proportional to 2,030.86, 3,047.94 and 1,057.24 is: 1,586.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,030.86 : 3,047.94 = 1,057.24 : x
  2. Step 2: Convert to fraction form
    2,030.86/3,047.94 = 1,057.24/x
  3. Step 3: Cross multiply
    2,030.86x = 3,047.94 × 1,057.24
  4. Step 4: Simplify right side
    2,030.86x = 3,222,404.09
  5. Step 5: Solve for x
    x = 3,222,404.09/2,030.86
  6. Step 6: Final answer
    x = 1,586.72

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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.