Home / 2,071.20-2,858.16-1,314.12

Finding the Fourth Proportional to 2,071.20, 2,858.16 and 1,314.12

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Solution

The fourth proportional to 2,071.20, 2,858.16 and 1,314.12 is: 1,813.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071.20 : 2,858.16 = 1,314.12 : x
  2. Step 2: Convert to fraction form
    2,071.20/2,858.16 = 1,314.12/x
  3. Step 3: Cross multiply
    2,071.20x = 2,858.16 × 1,314.12
  4. Step 4: Simplify right side
    2,071.20x = 3,755,965.22
  5. Step 5: Solve for x
    x = 3,755,965.22/2,071.20
  6. Step 6: Final answer
    x = 1,813.42

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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.