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Finding the Fourth Proportional to 1,681.82, 2,522.73 and 917.18

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Solution

The fourth proportional to 1,681.82, 2,522.73 and 917.18 is: 1,375.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,681.82 : 2,522.73 = 917.18 : x
  2. Step 2: Convert to fraction form
    1,681.82/2,522.73 = 917.18/x
  3. Step 3: Cross multiply
    1,681.82x = 2,522.73 × 917.18
  4. Step 4: Simplify right side
    1,681.82x = 2,313,797.50
  5. Step 5: Solve for x
    x = 2,313,797.50/1,681.82
  6. Step 6: Final answer
    x = 1,375.77

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Similar ratio
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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.