Home / 1,945.24-2,684.21-1,159.13

Finding the Fourth Proportional to 1,945.24, 2,684.21 and 1,159.13

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Solution

The fourth proportional to 1,945.24, 2,684.21 and 1,159.13 is: 1,599.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,945.24 : 2,684.21 = 1,159.13 : x
  2. Step 2: Convert to fraction form
    1,945.24/2,684.21 = 1,159.13/x
  3. Step 3: Cross multiply
    1,945.24x = 2,684.21 × 1,159.13
  4. Step 4: Simplify right side
    1,945.24x = 3,111,349.25
  5. Step 5: Solve for x
    x = 3,111,349.25/1,945.24
  6. Step 6: Final answer
    x = 1,599.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.