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Finding the Fourth Proportional to 2,064.16, 3,097.23 and 1,090.99

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Solution

The fourth proportional to 2,064.16, 3,097.23 and 1,090.99 is: 1,637.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,064.16 : 3,097.23 = 1,090.99 : x
  2. Step 2: Convert to fraction form
    2,064.16/3,097.23 = 1,090.99/x
  3. Step 3: Cross multiply
    2,064.16x = 3,097.23 × 1,090.99
  4. Step 4: Simplify right side
    2,064.16x = 3,379,046.96
  5. Step 5: Solve for x
    x = 3,379,046.96/2,064.16
  6. Step 6: Final answer
    x = 1,637.01

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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.