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Finding the Fourth Proportional to 2,077.55, 3,116.33 and 596.94

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Solution

The fourth proportional to 2,077.55, 3,116.33 and 596.94 is: 895.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,077.55 : 3,116.33 = 596.94 : x
  2. Step 2: Convert to fraction form
    2,077.55/3,116.33 = 596.94/x
  3. Step 3: Cross multiply
    2,077.55x = 3,116.33 × 596.94
  4. Step 4: Simplify right side
    2,077.55x = 1,860,259.05
  5. Step 5: Solve for x
    x = 1,860,259.05/2,077.55
  6. Step 6: Final answer
    x = 895.41

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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.