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Finding the Fourth Proportional to 1,764.42, 2,644.87 and 884.23

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Solution

The fourth proportional to 1,764.42, 2,644.87 and 884.23 is: 1,325.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,764.42 : 2,644.87 = 884.23 : x
  2. Step 2: Convert to fraction form
    1,764.42/2,644.87 = 884.23/x
  3. Step 3: Cross multiply
    1,764.42x = 2,644.87 × 884.23
  4. Step 4: Simplify right side
    1,764.42x = 2,338,673.40
  5. Step 5: Solve for x
    x = 2,338,673.40/1,764.42
  6. Step 6: Final answer
    x = 1,325.46

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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.