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Finding the Fourth Proportional to 1,910.36, 2,865.64 and 594.22

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Solution

The fourth proportional to 1,910.36, 2,865.64 and 594.22 is: 891.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,910.36 : 2,865.64 = 594.22 : x
  2. Step 2: Convert to fraction form
    1,910.36/2,865.64 = 594.22/x
  3. Step 3: Cross multiply
    1,910.36x = 2,865.64 × 594.22
  4. Step 4: Simplify right side
    1,910.36x = 1,702,820.60
  5. Step 5: Solve for x
    x = 1,702,820.60/1,910.36
  6. Step 6: Final answer
    x = 891.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.