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Finding the Fourth Proportional to 3,076.16, 4,615.50 and 1,431.68

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Solution

The fourth proportional to 3,076.16, 4,615.50 and 1,431.68 is: 2,148.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,076.16 : 4,615.50 = 1,431.68 : x
  2. Step 2: Convert to fraction form
    3,076.16/4,615.50 = 1,431.68/x
  3. Step 3: Cross multiply
    3,076.16x = 4,615.50 × 1,431.68
  4. Step 4: Simplify right side
    3,076.16x = 6,607,919.04
  5. Step 5: Solve for x
    x = 6,607,919.04/3,076.16
  6. Step 6: Final answer
    x = 2,148.11

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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.