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Finding the Fourth Proportional to 2,052.95, 3,085.90 and 1,782.41

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Solution

The fourth proportional to 2,052.95, 3,085.90 and 1,782.41 is: 2,679.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,052.95 : 3,085.90 = 1,782.41 : x
  2. Step 2: Convert to fraction form
    2,052.95/3,085.90 = 1,782.41/x
  3. Step 3: Cross multiply
    2,052.95x = 3,085.90 × 1,782.41
  4. Step 4: Simplify right side
    2,052.95x = 5,500,319.13
  5. Step 5: Solve for x
    x = 5,500,319.13/2,052.95
  6. Step 6: Final answer
    x = 2,679.23

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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.