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Finding the Fourth Proportional to 3,090.86, 4,637.60 and 2,051.22

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Solution

The fourth proportional to 3,090.86, 4,637.60 and 2,051.22 is: 3,077.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,090.86 : 4,637.60 = 2,051.22 : x
  2. Step 2: Convert to fraction form
    3,090.86/4,637.60 = 2,051.22/x
  3. Step 3: Cross multiply
    3,090.86x = 4,637.60 × 2,051.22
  4. Step 4: Simplify right side
    3,090.86x = 9,512,737.87
  5. Step 5: Solve for x
    x = 9,512,737.87/3,090.86
  6. Step 6: Final answer
    x = 3,077.70

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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.