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Finding the Fourth Proportional to 2,076.93, 3,115.02 and 615.72

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Solution

The fourth proportional to 2,076.93, 3,115.02 and 615.72 is: 923.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,076.93 : 3,115.02 = 615.72 : x
  2. Step 2: Convert to fraction form
    2,076.93/3,115.02 = 615.72/x
  3. Step 3: Cross multiply
    2,076.93x = 3,115.02 × 615.72
  4. Step 4: Simplify right side
    2,076.93x = 1,917,980.11
  5. Step 5: Solve for x
    x = 1,917,980.11/2,076.93
  6. Step 6: Final answer
    x = 923.47

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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.