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Finding the Fourth Proportional to 1,788.01, 2,682.77 and 965.32

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Solution

The fourth proportional to 1,788.01, 2,682.77 and 965.32 is: 1,448.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,788.01 : 2,682.77 = 965.32 : x
  2. Step 2: Convert to fraction form
    1,788.01/2,682.77 = 965.32/x
  3. Step 3: Cross multiply
    1,788.01x = 2,682.77 × 965.32
  4. Step 4: Simplify right side
    1,788.01x = 2,589,726.71
  5. Step 5: Solve for x
    x = 2,589,726.71/1,788.01
  6. Step 6: Final answer
    x = 1,448.39

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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.