Home / 1,742.88-2,614.80-922.08

Finding the Fourth Proportional to 1,742.88, 2,614.80 and 922.08

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Solution

The fourth proportional to 1,742.88, 2,614.80 and 922.08 is: 1,383.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742.88 : 2,614.80 = 922.08 : x
  2. Step 2: Convert to fraction form
    1,742.88/2,614.80 = 922.08/x
  3. Step 3: Cross multiply
    1,742.88x = 2,614.80 × 922.08
  4. Step 4: Simplify right side
    1,742.88x = 2,411,054.78
  5. Step 5: Solve for x
    x = 2,411,054.78/1,742.88
  6. Step 6: Final answer
    x = 1,383.37

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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.