Home / 1,538.34-2,307.06-1,194

Finding the Fourth Proportional to 1,538.34, 2,307.06 and 1,194

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Solution

The fourth proportional to 1,538.34, 2,307.06 and 1,194 is: 1,790.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.34 : 2,307.06 = 1,194 : x
  2. Step 2: Convert to fraction form
    1,538.34/2,307.06 = 1,194/x
  3. Step 3: Cross multiply
    1,538.34x = 2,307.06 × 1,194
  4. Step 4: Simplify right side
    1,538.34x = 2,754,629.64
  5. Step 5: Solve for x
    x = 2,754,629.64/1,538.34
  6. Step 6: Final answer
    x = 1,790.65

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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.