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Finding the Fourth Proportional to 2,032.99, 2,805.19 and 1,193.62

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Solution

The fourth proportional to 2,032.99, 2,805.19 and 1,193.62 is: 1,647.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032.99 : 2,805.19 = 1,193.62 : x
  2. Step 2: Convert to fraction form
    2,032.99/2,805.19 = 1,193.62/x
  3. Step 3: Cross multiply
    2,032.99x = 2,805.19 × 1,193.62
  4. Step 4: Simplify right side
    2,032.99x = 3,348,330.89
  5. Step 5: Solve for x
    x = 3,348,330.89/2,032.99
  6. Step 6: Final answer
    x = 1,647.00

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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.