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Finding the Fourth Proportional to 1,634.37, 2,254.70 and 970.85

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Solution

The fourth proportional to 1,634.37, 2,254.70 and 970.85 is: 1,339.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,634.37 : 2,254.70 = 970.85 : x
  2. Step 2: Convert to fraction form
    1,634.37/2,254.70 = 970.85/x
  3. Step 3: Cross multiply
    1,634.37x = 2,254.70 × 970.85
  4. Step 4: Simplify right side
    1,634.37x = 2,188,959.37
  5. Step 5: Solve for x
    x = 2,188,959.37/1,634.37
  6. Step 6: Final answer
    x = 1,339.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.