Home / 1,969.16-2,952.77-1,147.64

Finding the Fourth Proportional to 1,969.16, 2,952.77 and 1,147.64

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Solution

The fourth proportional to 1,969.16, 2,952.77 and 1,147.64 is: 1,720.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,969.16 : 2,952.77 = 1,147.64 : x
  2. Step 2: Convert to fraction form
    1,969.16/2,952.77 = 1,147.64/x
  3. Step 3: Cross multiply
    1,969.16x = 2,952.77 × 1,147.64
  4. Step 4: Simplify right side
    1,969.16x = 3,388,696.46
  5. Step 5: Solve for x
    x = 3,388,696.46/1,969.16
  6. Step 6: Final answer
    x = 1,720.89

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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.