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Finding the Fourth Proportional to 3,076.53, 4,615.31 and 997.06

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Solution

The fourth proportional to 3,076.53, 4,615.31 and 997.06 is: 1,495.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,076.53 : 4,615.31 = 997.06 : x
  2. Step 2: Convert to fraction form
    3,076.53/4,615.31 = 997.06/x
  3. Step 3: Cross multiply
    3,076.53x = 4,615.31 × 997.06
  4. Step 4: Simplify right side
    3,076.53x = 4,601,740.99
  5. Step 5: Solve for x
    x = 4,601,740.99/3,076.53
  6. Step 6: Final answer
    x = 1,495.76

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1.5x scale

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.