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Finding the Fourth Proportional to 2,013.01, 2,778.07 and 1,514.76

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Solution

The fourth proportional to 2,013.01, 2,778.07 and 1,514.76 is: 2,090.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,013.01 : 2,778.07 = 1,514.76 : x
  2. Step 2: Convert to fraction form
    2,013.01/2,778.07 = 1,514.76/x
  3. Step 3: Cross multiply
    2,013.01x = 2,778.07 × 1,514.76
  4. Step 4: Simplify right side
    2,013.01x = 4,208,109.31
  5. Step 5: Solve for x
    x = 4,208,109.31/2,013.01
  6. Step 6: Final answer
    x = 2,090.46

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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.