Home / 2,054-2,834.58-1,122.56

Finding the Fourth Proportional to 2,054, 2,834.58 and 1,122.56

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Solution

The fourth proportional to 2,054, 2,834.58 and 1,122.56 is: 1,549.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,054 : 2,834.58 = 1,122.56 : x
  2. Step 2: Convert to fraction form
    2,054/2,834.58 = 1,122.56/x
  3. Step 3: Cross multiply
    2,054x = 2,834.58 × 1,122.56
  4. Step 4: Simplify right side
    2,054x = 3,181,986.12
  5. Step 5: Solve for x
    x = 3,181,986.12/2,054
  6. Step 6: Final answer
    x = 1,549.17

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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.