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Finding the Fourth Proportional to 1,920.13, 2,650.66 and 1,291.10

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Solution

The fourth proportional to 1,920.13, 2,650.66 and 1,291.10 is: 1,782.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,920.13 : 2,650.66 = 1,291.10 : x
  2. Step 2: Convert to fraction form
    1,920.13/2,650.66 = 1,291.10/x
  3. Step 3: Cross multiply
    1,920.13x = 2,650.66 × 1,291.10
  4. Step 4: Simplify right side
    1,920.13x = 3,422,250.64
  5. Step 5: Solve for x
    x = 3,422,250.64/1,920.13
  6. Step 6: Final answer
    x = 1,782.30

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