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Finding the Fourth Proportional to 2,806.26, 4,209.42 and 957.40

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Solution

The fourth proportional to 2,806.26, 4,209.42 and 957.40 is: 1,436.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,806.26 : 4,209.42 = 957.40 : x
  2. Step 2: Convert to fraction form
    2,806.26/4,209.42 = 957.40/x
  3. Step 3: Cross multiply
    2,806.26x = 4,209.42 × 957.40
  4. Step 4: Simplify right side
    2,806.26x = 4,030,098.71
  5. Step 5: Solve for x
    x = 4,030,098.71/2,806.26
  6. Step 6: Final answer
    x = 1,436.11

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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.