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Finding the Fourth Proportional to 1,965.36, 2,948.10 and 811.20

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Solution

The fourth proportional to 1,965.36, 2,948.10 and 811.20 is: 1,216.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,965.36 : 2,948.10 = 811.20 : x
  2. Step 2: Convert to fraction form
    1,965.36/2,948.10 = 811.20/x
  3. Step 3: Cross multiply
    1,965.36x = 2,948.10 × 811.20
  4. Step 4: Simplify right side
    1,965.36x = 2,391,498.72
  5. Step 5: Solve for x
    x = 2,391,498.72/1,965.36
  6. Step 6: Final answer
    x = 1,216.82

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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.