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Finding the Fourth Proportional to 3,064.89, 4,593.41 and 1,307.80

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Solution

The fourth proportional to 3,064.89, 4,593.41 and 1,307.80 is: 1,960.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,064.89 : 4,593.41 = 1,307.80 : x
  2. Step 2: Convert to fraction form
    3,064.89/4,593.41 = 1,307.80/x
  3. Step 3: Cross multiply
    3,064.89x = 4,593.41 × 1,307.80
  4. Step 4: Simplify right side
    3,064.89x = 6,007,239.87
  5. Step 5: Solve for x
    x = 6,007,239.87/3,064.89
  6. Step 6: Final answer
    x = 1,960.02

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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.