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Finding the Fourth Proportional to 2,076.63, 3,114.94 and 615.77

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Solution

The fourth proportional to 2,076.63, 3,114.94 and 615.77 is: 923.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,076.63 : 3,114.94 = 615.77 : x
  2. Step 2: Convert to fraction form
    2,076.63/3,114.94 = 615.77/x
  3. Step 3: Cross multiply
    2,076.63x = 3,114.94 × 615.77
  4. Step 4: Simplify right side
    2,076.63x = 1,918,086.60
  5. Step 5: Solve for x
    x = 1,918,086.60/2,076.63
  6. Step 6: Final answer
    x = 923.65

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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.