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Finding the Fourth Proportional to 2,689.40, 4,033.42 and 957.62

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Solution

The fourth proportional to 2,689.40, 4,033.42 and 957.62 is: 1,436.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,689.40 : 4,033.42 = 957.62 : x
  2. Step 2: Convert to fraction form
    2,689.40/4,033.42 = 957.62/x
  3. Step 3: Cross multiply
    2,689.40x = 4,033.42 × 957.62
  4. Step 4: Simplify right side
    2,689.40x = 3,862,483.66
  5. Step 5: Solve for x
    x = 3,862,483.66/2,689.40
  6. Step 6: Final answer
    x = 1,436.19

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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.