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Finding the Fourth Proportional to 3,010.80, 4,514.50 and 1,406.20

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Solution

The fourth proportional to 3,010.80, 4,514.50 and 1,406.20 is: 2,108.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,010.80 : 4,514.50 = 1,406.20 : x
  2. Step 2: Convert to fraction form
    3,010.80/4,514.50 = 1,406.20/x
  3. Step 3: Cross multiply
    3,010.80x = 4,514.50 × 1,406.20
  4. Step 4: Simplify right side
    3,010.80x = 6,348,289.90
  5. Step 5: Solve for x
    x = 6,348,289.90/3,010.80
  6. Step 6: Final answer
    x = 2,108.51

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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.