Home / 2,032.14-3,043.46-1,566.22

Finding the Fourth Proportional to 2,032.14, 3,043.46 and 1,566.22

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Solution

The fourth proportional to 2,032.14, 3,043.46 and 1,566.22 is: 2,345.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032.14 : 3,043.46 = 1,566.22 : x
  2. Step 2: Convert to fraction form
    2,032.14/3,043.46 = 1,566.22/x
  3. Step 3: Cross multiply
    2,032.14x = 3,043.46 × 1,566.22
  4. Step 4: Simplify right side
    2,032.14x = 4,766,727.92
  5. Step 5: Solve for x
    x = 4,766,727.92/2,032.14
  6. Step 6: Final answer
    x = 2,345.67

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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.