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Finding the Fourth Proportional to 2,262.88, 3,128.55 and 1,706.21

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Solution

The fourth proportional to 2,262.88, 3,128.55 and 1,706.21 is: 2,358.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,262.88 : 3,128.55 = 1,706.21 : x
  2. Step 2: Convert to fraction form
    2,262.88/3,128.55 = 1,706.21/x
  3. Step 3: Cross multiply
    2,262.88x = 3,128.55 × 1,706.21
  4. Step 4: Simplify right side
    2,262.88x = 5,337,947.65
  5. Step 5: Solve for x
    x = 5,337,947.65/2,262.88
  6. Step 6: Final answer
    x = 2,358.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.