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Finding the Fourth Proportional to 3,076.95, 4,620.29 and 2,430.57

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Solution

The fourth proportional to 3,076.95, 4,620.29 and 2,430.57 is: 3,649.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,076.95 : 4,620.29 = 2,430.57 : x
  2. Step 2: Convert to fraction form
    3,076.95/4,620.29 = 2,430.57/x
  3. Step 3: Cross multiply
    3,076.95x = 4,620.29 × 2,430.57
  4. Step 4: Simplify right side
    3,076.95x = 11,229,938.27
  5. Step 5: Solve for x
    x = 11,229,938.27/3,076.95
  6. Step 6: Final answer
    x = 3,649.70

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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.