Home / 2,042.16-2,818.04-1,214

Finding the Fourth Proportional to 2,042.16, 2,818.04 and 1,214

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Solution

The fourth proportional to 2,042.16, 2,818.04 and 1,214 is: 1,675.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,042.16 : 2,818.04 = 1,214 : x
  2. Step 2: Convert to fraction form
    2,042.16/2,818.04 = 1,214/x
  3. Step 3: Cross multiply
    2,042.16x = 2,818.04 × 1,214
  4. Step 4: Simplify right side
    2,042.16x = 3,421,100.56
  5. Step 5: Solve for x
    x = 3,421,100.56/2,042.16
  6. Step 6: Final answer
    x = 1,675.24

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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.