Home / 2,081.34-2,871.28-1,284.00

Finding the Fourth Proportional to 2,081.34, 2,871.28 and 1,284.00

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Solution

The fourth proportional to 2,081.34, 2,871.28 and 1,284.00 is: 1,771.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,081.34 : 2,871.28 = 1,284.00 : x
  2. Step 2: Convert to fraction form
    2,081.34/2,871.28 = 1,284.00/x
  3. Step 3: Cross multiply
    2,081.34x = 2,871.28 × 1,284.00
  4. Step 4: Simplify right side
    2,081.34x = 3,686,709.16
  5. Step 5: Solve for x
    x = 3,686,709.16/2,081.34
  6. Step 6: Final answer
    x = 1,771.32

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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.