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Finding the Fourth Proportional to 2,417.92, 3,626.68 and 957.09

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Solution

The fourth proportional to 2,417.92, 3,626.68 and 957.09 is: 1,435.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,417.92 : 3,626.68 = 957.09 : x
  2. Step 2: Convert to fraction form
    2,417.92/3,626.68 = 957.09/x
  3. Step 3: Cross multiply
    2,417.92x = 3,626.68 × 957.09
  4. Step 4: Simplify right side
    2,417.92x = 3,471,059.16
  5. Step 5: Solve for x
    x = 3,471,059.16/2,417.92
  6. Step 6: Final answer
    x = 1,435.56

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1.5x scale

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.