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Finding the Fourth Proportional to 1,452.08, 2,178.20 and 426

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Solution

The fourth proportional to 1,452.08, 2,178.20 and 426 is: 639.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,452.08 : 2,178.20 = 426 : x
  2. Step 2: Convert to fraction form
    1,452.08/2,178.20 = 426/x
  3. Step 3: Cross multiply
    1,452.08x = 2,178.20 × 426
  4. Step 4: Simplify right side
    1,452.08x = 927,913.20
  5. Step 5: Solve for x
    x = 927,913.20/1,452.08
  6. Step 6: Final answer
    x = 639.02

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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.