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Finding the Fourth Proportional to 1,514.01, 2,271.10 and 418.35

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Solution

The fourth proportional to 1,514.01, 2,271.10 and 418.35 is: 627.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,514.01 : 2,271.10 = 418.35 : x
  2. Step 2: Convert to fraction form
    1,514.01/2,271.10 = 418.35/x
  3. Step 3: Cross multiply
    1,514.01x = 2,271.10 × 418.35
  4. Step 4: Simplify right side
    1,514.01x = 950,114.69
  5. Step 5: Solve for x
    x = 950,114.69/1,514.01
  6. Step 6: Final answer
    x = 627.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.