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Finding the Fourth Proportional to 2,081.61, 3,122.43 and 1,430.37

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Solution

The fourth proportional to 2,081.61, 3,122.43 and 1,430.37 is: 2,145.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,081.61 : 3,122.43 = 1,430.37 : x
  2. Step 2: Convert to fraction form
    2,081.61/3,122.43 = 1,430.37/x
  3. Step 3: Cross multiply
    2,081.61x = 3,122.43 × 1,430.37
  4. Step 4: Simplify right side
    2,081.61x = 4,466,230.20
  5. Step 5: Solve for x
    x = 4,466,230.20/2,081.61
  6. Step 6: Final answer
    x = 2,145.57

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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.