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Finding the Fourth Proportional to 1,948.11, 2,919.73 and 974.49

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Solution

The fourth proportional to 1,948.11, 2,919.73 and 974.49 is: 1,460.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,948.11 : 2,919.73 = 974.49 : x
  2. Step 2: Convert to fraction form
    1,948.11/2,919.73 = 974.49/x
  3. Step 3: Cross multiply
    1,948.11x = 2,919.73 × 974.49
  4. Step 4: Simplify right side
    1,948.11x = 2,845,247.69
  5. Step 5: Solve for x
    x = 2,845,247.69/1,948.11
  6. Step 6: Final answer
    x = 1,460.52

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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.