Home / 1,534.56-2,117.70-835.92

Finding the Fourth Proportional to 1,534.56, 2,117.70 and 835.92

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Solution

The fourth proportional to 1,534.56, 2,117.70 and 835.92 is: 1,153.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,534.56 : 2,117.70 = 835.92 : x
  2. Step 2: Convert to fraction form
    1,534.56/2,117.70 = 835.92/x
  3. Step 3: Cross multiply
    1,534.56x = 2,117.70 × 835.92
  4. Step 4: Simplify right side
    1,534.56x = 1,770,227.78
  5. Step 5: Solve for x
    x = 1,770,227.78/1,534.56
  6. Step 6: Final answer
    x = 1,153.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.