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Finding the Fourth Proportional to 3,010.11, 4,514.15 and 929.84

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Solution

The fourth proportional to 3,010.11, 4,514.15 and 929.84 is: 1,394.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,010.11 : 4,514.15 = 929.84 : x
  2. Step 2: Convert to fraction form
    3,010.11/4,514.15 = 929.84/x
  3. Step 3: Cross multiply
    3,010.11x = 4,514.15 × 929.84
  4. Step 4: Simplify right side
    3,010.11x = 4,197,410.02
  5. Step 5: Solve for x
    x = 4,197,410.02/3,010.11
  6. Step 6: Final answer
    x = 1,394.44

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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.