Home / 1,577.26-2,365.09-919.35

Finding the Fourth Proportional to 1,577.26, 2,365.09 and 919.35

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Solution

The fourth proportional to 1,577.26, 2,365.09 and 919.35 is: 1,378.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577.26 : 2,365.09 = 919.35 : x
  2. Step 2: Convert to fraction form
    1,577.26/2,365.09 = 919.35/x
  3. Step 3: Cross multiply
    1,577.26x = 2,365.09 × 919.35
  4. Step 4: Simplify right side
    1,577.26x = 2,174,345.49
  5. Step 5: Solve for x
    x = 2,174,345.49/1,577.26
  6. Step 6: Final answer
    x = 1,378.56

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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.