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Finding the Fourth Proportional to 1,905.57, 2,858.82 and 656.18

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Solution

The fourth proportional to 1,905.57, 2,858.82 and 656.18 is: 984.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,905.57 : 2,858.82 = 656.18 : x
  2. Step 2: Convert to fraction form
    1,905.57/2,858.82 = 656.18/x
  3. Step 3: Cross multiply
    1,905.57x = 2,858.82 × 656.18
  4. Step 4: Simplify right side
    1,905.57x = 1,875,915.17
  5. Step 5: Solve for x
    x = 1,875,915.17/1,905.57
  6. Step 6: Final answer
    x = 984.44

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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.