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Finding the Fourth Proportional to 2,556.62, 3,834.90 and 707.75

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Solution

The fourth proportional to 2,556.62, 3,834.90 and 707.75 is: 1,061.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,556.62 : 3,834.90 = 707.75 : x
  2. Step 2: Convert to fraction form
    2,556.62/3,834.90 = 707.75/x
  3. Step 3: Cross multiply
    2,556.62x = 3,834.90 × 707.75
  4. Step 4: Simplify right side
    2,556.62x = 2,714,150.48
  5. Step 5: Solve for x
    x = 2,714,150.48/2,556.62
  6. Step 6: Final answer
    x = 1,061.62

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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.