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Finding the Fourth Proportional to 2,705.70, 4,052.88 and 1,403.22

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Solution

The fourth proportional to 2,705.70, 4,052.88 and 1,403.22 is: 2,101.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,705.70 : 4,052.88 = 1,403.22 : x
  2. Step 2: Convert to fraction form
    2,705.70/4,052.88 = 1,403.22/x
  3. Step 3: Cross multiply
    2,705.70x = 4,052.88 × 1,403.22
  4. Step 4: Simplify right side
    2,705.70x = 5,687,082.27
  5. Step 5: Solve for x
    x = 5,687,082.27/2,705.70
  6. Step 6: Final answer
    x = 2,101.89

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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.