Home / 2,054.14-2,834.74-1,122.64

Finding the Fourth Proportional to 2,054.14, 2,834.74 and 1,122.64

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Solution

The fourth proportional to 2,054.14, 2,834.74 and 1,122.64 is: 1,549.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,054.14 : 2,834.74 = 1,122.64 : x
  2. Step 2: Convert to fraction form
    2,054.14/2,834.74 = 1,122.64/x
  3. Step 3: Cross multiply
    2,054.14x = 2,834.74 × 1,122.64
  4. Step 4: Simplify right side
    2,054.14x = 3,182,392.51
  5. Step 5: Solve for x
    x = 3,182,392.51/2,054.14
  6. Step 6: Final answer
    x = 1,549.26

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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.