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Finding the Fourth Proportional to 2,076.72, 3,115.89 and 615.89

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Solution

The fourth proportional to 2,076.72, 3,115.89 and 615.89 is: 924.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,076.72 : 3,115.89 = 615.89 : x
  2. Step 2: Convert to fraction form
    2,076.72/3,115.89 = 615.89/x
  3. Step 3: Cross multiply
    2,076.72x = 3,115.89 × 615.89
  4. Step 4: Simplify right side
    2,076.72x = 1,919,029.91
  5. Step 5: Solve for x
    x = 1,919,029.91/2,076.72
  6. Step 6: Final answer
    x = 924.07

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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.