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Finding the Fourth Proportional to 3,064.49, 4,593.09 and 1,114.43

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Solution

The fourth proportional to 3,064.49, 4,593.09 and 1,114.43 is: 1,670.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,064.49 : 4,593.09 = 1,114.43 : x
  2. Step 2: Convert to fraction form
    3,064.49/4,593.09 = 1,114.43/x
  3. Step 3: Cross multiply
    3,064.49x = 4,593.09 × 1,114.43
  4. Step 4: Simplify right side
    3,064.49x = 5,118,677.29
  5. Step 5: Solve for x
    x = 5,118,677.29/3,064.49
  6. Step 6: Final answer
    x = 1,670.32

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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.