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Finding the Fourth Proportional to 2,165.03, 3,244.40 and 1,177.03

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Solution

The fourth proportional to 2,165.03, 3,244.40 and 1,177.03 is: 1,763.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,165.03 : 3,244.40 = 1,177.03 : x
  2. Step 2: Convert to fraction form
    2,165.03/3,244.40 = 1,177.03/x
  3. Step 3: Cross multiply
    2,165.03x = 3,244.40 × 1,177.03
  4. Step 4: Simplify right side
    2,165.03x = 3,818,765.34
  5. Step 5: Solve for x
    x = 3,818,765.34/2,165.03
  6. Step 6: Final answer
    x = 1,763.84

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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.