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Finding the Fourth Proportional to 2,737.83, 3,778.59 and 1,559.01

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Solution

The fourth proportional to 2,737.83, 3,778.59 and 1,559.01 is: 2,151.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,737.83 : 3,778.59 = 1,559.01 : x
  2. Step 2: Convert to fraction form
    2,737.83/3,778.59 = 1,559.01/x
  3. Step 3: Cross multiply
    2,737.83x = 3,778.59 × 1,559.01
  4. Step 4: Simplify right side
    2,737.83x = 5,890,840.70
  5. Step 5: Solve for x
    x = 5,890,840.70/2,737.83
  6. Step 6: Final answer
    x = 2,151.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.