Home / 1,965.47-2,945.16-1,144.13

Finding the Fourth Proportional to 1,965.47, 2,945.16 and 1,144.13

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Solution

The fourth proportional to 1,965.47, 2,945.16 and 1,144.13 is: 1,714.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,965.47 : 2,945.16 = 1,144.13 : x
  2. Step 2: Convert to fraction form
    1,965.47/2,945.16 = 1,144.13/x
  3. Step 3: Cross multiply
    1,965.47x = 2,945.16 × 1,144.13
  4. Step 4: Simplify right side
    1,965.47x = 3,369,631.19
  5. Step 5: Solve for x
    x = 3,369,631.19/1,965.47
  6. Step 6: Final answer
    x = 1,714.42

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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.