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Finding the Fourth Proportional to 3,102.54, 4,650.08 and 1,455.90

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Solution

The fourth proportional to 3,102.54, 4,650.08 and 1,455.90 is: 2,182.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.54 : 4,650.08 = 1,455.90 : x
  2. Step 2: Convert to fraction form
    3,102.54/4,650.08 = 1,455.90/x
  3. Step 3: Cross multiply
    3,102.54x = 4,650.08 × 1,455.90
  4. Step 4: Simplify right side
    3,102.54x = 6,770,044.19
  5. Step 5: Solve for x
    x = 6,770,044.19/3,102.54
  6. Step 6: Final answer
    x = 2,182.10

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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.