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Finding the Fourth Proportional to 2,005.46, 3,005.54 and 1,452.02

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Solution

The fourth proportional to 2,005.46, 3,005.54 and 1,452.02 is: 2,176.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005.46 : 3,005.54 = 1,452.02 : x
  2. Step 2: Convert to fraction form
    2,005.46/3,005.54 = 1,452.02/x
  3. Step 3: Cross multiply
    2,005.46x = 3,005.54 × 1,452.02
  4. Step 4: Simplify right side
    2,005.46x = 4,364,096.93
  5. Step 5: Solve for x
    x = 4,364,096.93/2,005.46
  6. Step 6: Final answer
    x = 2,176.11

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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.