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Finding the Fourth Proportional to 2,193.03, 3,289.55 and 549.58

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Solution

The fourth proportional to 2,193.03, 3,289.55 and 549.58 is: 824.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,193.03 : 3,289.55 = 549.58 : x
  2. Step 2: Convert to fraction form
    2,193.03/3,289.55 = 549.58/x
  3. Step 3: Cross multiply
    2,193.03x = 3,289.55 × 549.58
  4. Step 4: Simplify right side
    2,193.03x = 1,807,870.89
  5. Step 5: Solve for x
    x = 1,807,870.89/2,193.03
  6. Step 6: Final answer
    x = 824.37

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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.