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Finding the Fourth Proportional to 2,064.16, 3,096.24 and 1,090.72

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Solution

The fourth proportional to 2,064.16, 3,096.24 and 1,090.72 is: 1,636.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,064.16 : 3,096.24 = 1,090.72 : x
  2. Step 2: Convert to fraction form
    2,064.16/3,096.24 = 1,090.72/x
  3. Step 3: Cross multiply
    2,064.16x = 3,096.24 × 1,090.72
  4. Step 4: Simplify right side
    2,064.16x = 3,377,130.89
  5. Step 5: Solve for x
    x = 3,377,130.89/2,064.16
  6. Step 6: Final answer
    x = 1,636.08

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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.