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Finding the Fourth Proportional to 1,644.71, 2,466.86 and 951.75

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Solution

The fourth proportional to 1,644.71, 2,466.86 and 951.75 is: 1,427.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,644.71 : 2,466.86 = 951.75 : x
  2. Step 2: Convert to fraction form
    1,644.71/2,466.86 = 951.75/x
  3. Step 3: Cross multiply
    1,644.71x = 2,466.86 × 951.75
  4. Step 4: Simplify right side
    1,644.71x = 2,347,829.25
  5. Step 5: Solve for x
    x = 2,347,829.25/1,644.71
  6. Step 6: Final answer
    x = 1,427.51

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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.