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Finding the Fourth Proportional to 1,626.99, 2,441.07 and 653.16

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Solution

The fourth proportional to 1,626.99, 2,441.07 and 653.16 is: 979.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,626.99 : 2,441.07 = 653.16 : x
  2. Step 2: Convert to fraction form
    1,626.99/2,441.07 = 653.16/x
  3. Step 3: Cross multiply
    1,626.99x = 2,441.07 × 653.16
  4. Step 4: Simplify right side
    1,626.99x = 1,594,409.28
  5. Step 5: Solve for x
    x = 1,594,409.28/1,626.99
  6. Step 6: Final answer
    x = 979.97

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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.