Home / 2,174.14-3,261.75-713.32

Finding the Fourth Proportional to 2,174.14, 3,261.75 and 713.32

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Solution

The fourth proportional to 2,174.14, 3,261.75 and 713.32 is: 1,070.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174.14 : 3,261.75 = 713.32 : x
  2. Step 2: Convert to fraction form
    2,174.14/3,261.75 = 713.32/x
  3. Step 3: Cross multiply
    2,174.14x = 3,261.75 × 713.32
  4. Step 4: Simplify right side
    2,174.14x = 2,326,671.51
  5. Step 5: Solve for x
    x = 2,326,671.51/2,174.14
  6. Step 6: Final answer
    x = 1,070.16

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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.