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Finding the Fourth Proportional to 2,522.34, 3,784.32 and 1,289.52

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Solution

The fourth proportional to 2,522.34, 3,784.32 and 1,289.52 is: 1,934.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,522.34 : 3,784.32 = 1,289.52 : x
  2. Step 2: Convert to fraction form
    2,522.34/3,784.32 = 1,289.52/x
  3. Step 3: Cross multiply
    2,522.34x = 3,784.32 × 1,289.52
  4. Step 4: Simplify right side
    2,522.34x = 4,879,956.33
  5. Step 5: Solve for x
    x = 4,879,956.33/2,522.34
  6. Step 6: Final answer
    x = 1,934.69

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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.