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Finding the Fourth Proportional to 1,965.35, 2,948.11 and 649.22

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Solution

The fourth proportional to 1,965.35, 2,948.11 and 649.22 is: 973.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,965.35 : 2,948.11 = 649.22 : x
  2. Step 2: Convert to fraction form
    1,965.35/2,948.11 = 649.22/x
  3. Step 3: Cross multiply
    1,965.35x = 2,948.11 × 649.22
  4. Step 4: Simplify right side
    1,965.35x = 1,913,958.86
  5. Step 5: Solve for x
    x = 1,913,958.86/1,965.35
  6. Step 6: Final answer
    x = 973.85

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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.