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Finding the Fourth Proportional to 2,965.48, 4,448.70 and 913

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Solution

The fourth proportional to 2,965.48, 4,448.70 and 913 is: 1,369.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,965.48 : 4,448.70 = 913 : x
  2. Step 2: Convert to fraction form
    2,965.48/4,448.70 = 913/x
  3. Step 3: Cross multiply
    2,965.48x = 4,448.70 × 913
  4. Step 4: Simplify right side
    2,965.48x = 4,061,663.10
  5. Step 5: Solve for x
    x = 4,061,663.10/2,965.48
  6. Step 6: Final answer
    x = 1,369.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.