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Finding the Fourth Proportional to 2,032.74, 2,805.20 and 1,193.46

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Solution

The fourth proportional to 2,032.74, 2,805.20 and 1,193.46 is: 1,646.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032.74 : 2,805.20 = 1,193.46 : x
  2. Step 2: Convert to fraction form
    2,032.74/2,805.20 = 1,193.46/x
  3. Step 3: Cross multiply
    2,032.74x = 2,805.20 × 1,193.46
  4. Step 4: Simplify right side
    2,032.74x = 3,347,888.02
  5. Step 5: Solve for x
    x = 3,347,888.02/2,032.74
  6. Step 6: Final answer
    x = 1,646.98

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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.