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Finding the Fourth Proportional to 2,712.02, 3,741.41 and 1,590.98

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Solution

The fourth proportional to 2,712.02, 3,741.41 and 1,590.98 is: 2,194.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,712.02 : 3,741.41 = 1,590.98 : x
  2. Step 2: Convert to fraction form
    2,712.02/3,741.41 = 1,590.98/x
  3. Step 3: Cross multiply
    2,712.02x = 3,741.41 × 1,590.98
  4. Step 4: Simplify right side
    2,712.02x = 5,952,500.53
  5. Step 5: Solve for x
    x = 5,952,500.53/2,712.02
  6. Step 6: Final answer
    x = 2,194.86

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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.