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Finding the Fourth Proportional to 1,615.26, 2,228.66 and 952.50

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Solution

The fourth proportional to 1,615.26, 2,228.66 and 952.50 is: 1,314.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,615.26 : 2,228.66 = 952.50 : x
  2. Step 2: Convert to fraction form
    1,615.26/2,228.66 = 952.50/x
  3. Step 3: Cross multiply
    1,615.26x = 2,228.66 × 952.50
  4. Step 4: Simplify right side
    1,615.26x = 2,122,798.65
  5. Step 5: Solve for x
    x = 2,122,798.65/1,615.26
  6. Step 6: Final answer
    x = 1,314.21

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Why These Related Problems?

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