Home / 1,538.82-2,307.27-1,018.26

Finding the Fourth Proportional to 1,538.82, 2,307.27 and 1,018.26

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Solution

The fourth proportional to 1,538.82, 2,307.27 and 1,018.26 is: 1,526.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.82 : 2,307.27 = 1,018.26 : x
  2. Step 2: Convert to fraction form
    1,538.82/2,307.27 = 1,018.26/x
  3. Step 3: Cross multiply
    1,538.82x = 2,307.27 × 1,018.26
  4. Step 4: Simplify right side
    1,538.82x = 2,349,400.75
  5. Step 5: Solve for x
    x = 2,349,400.75/1,538.82
  6. Step 6: Final answer
    x = 1,526.75

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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.