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Finding the Fourth Proportional to 2,054.55, 3,082.53 and 1,128.93

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Solution

The fourth proportional to 2,054.55, 3,082.53 and 1,128.93 is: 1,693.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,054.55 : 3,082.53 = 1,128.93 : x
  2. Step 2: Convert to fraction form
    2,054.55/3,082.53 = 1,128.93/x
  3. Step 3: Cross multiply
    2,054.55x = 3,082.53 × 1,128.93
  4. Step 4: Simplify right side
    2,054.55x = 3,479,960.59
  5. Step 5: Solve for x
    x = 3,479,960.59/2,054.55
  6. Step 6: Final answer
    x = 1,693.78

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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.