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Finding the Fourth Proportional to 2,288.76, 3,434.82 and 1,770.04

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Solution

The fourth proportional to 2,288.76, 3,434.82 and 1,770.04 is: 2,656.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,288.76 : 3,434.82 = 1,770.04 : x
  2. Step 2: Convert to fraction form
    2,288.76/3,434.82 = 1,770.04/x
  3. Step 3: Cross multiply
    2,288.76x = 3,434.82 × 1,770.04
  4. Step 4: Simplify right side
    2,288.76x = 6,079,768.79
  5. Step 5: Solve for x
    x = 6,079,768.79/2,288.76
  6. Step 6: Final answer
    x = 2,656.36

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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.