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Finding the Fourth Proportional to 1,965.37, 2,948.10 and 504.53

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Solution

The fourth proportional to 1,965.37, 2,948.10 and 504.53 is: 756.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,965.37 : 2,948.10 = 504.53 : x
  2. Step 2: Convert to fraction form
    1,965.37/2,948.10 = 504.53/x
  3. Step 3: Cross multiply
    1,965.37x = 2,948.10 × 504.53
  4. Step 4: Simplify right side
    1,965.37x = 1,487,404.89
  5. Step 5: Solve for x
    x = 1,487,404.89/1,965.37
  6. Step 6: Final answer
    x = 756.81

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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.