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Finding the Fourth Proportional to 2,914.67, 4,369.37 and 1,064.49

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Solution

The fourth proportional to 2,914.67, 4,369.37 and 1,064.49 is: 1,595.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,914.67 : 4,369.37 = 1,064.49 : x
  2. Step 2: Convert to fraction form
    2,914.67/4,369.37 = 1,064.49/x
  3. Step 3: Cross multiply
    2,914.67x = 4,369.37 × 1,064.49
  4. Step 4: Simplify right side
    2,914.67x = 4,651,145.35
  5. Step 5: Solve for x
    x = 4,651,145.35/2,914.67
  6. Step 6: Final answer
    x = 1,595.77

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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.