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Finding the Fourth Proportional to 1,686.26, 2,531.19 and 957.26

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Solution

The fourth proportional to 1,686.26, 2,531.19 and 957.26 is: 1,436.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,686.26 : 2,531.19 = 957.26 : x
  2. Step 2: Convert to fraction form
    1,686.26/2,531.19 = 957.26/x
  3. Step 3: Cross multiply
    1,686.26x = 2,531.19 × 957.26
  4. Step 4: Simplify right side
    1,686.26x = 2,423,006.94
  5. Step 5: Solve for x
    x = 2,423,006.94/1,686.26
  6. Step 6: Final answer
    x = 1,436.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.