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Finding the Fourth Proportional to 1,834.95, 2,530.85 and 1,196.47

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Solution

The fourth proportional to 1,834.95, 2,530.85 and 1,196.47 is: 1,650.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,834.95 : 2,530.85 = 1,196.47 : x
  2. Step 2: Convert to fraction form
    1,834.95/2,530.85 = 1,196.47/x
  3. Step 3: Cross multiply
    1,834.95x = 2,530.85 × 1,196.47
  4. Step 4: Simplify right side
    1,834.95x = 3,028,083.28
  5. Step 5: Solve for x
    x = 3,028,083.28/1,834.95
  6. Step 6: Final answer
    x = 1,650.22

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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.