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Finding the Fourth Proportional to 3,076.98, 4,615.74 and 997.04

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Solution

The fourth proportional to 3,076.98, 4,615.74 and 997.04 is: 1,495.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,076.98 : 4,615.74 = 997.04 : x
  2. Step 2: Convert to fraction form
    3,076.98/4,615.74 = 997.04/x
  3. Step 3: Cross multiply
    3,076.98x = 4,615.74 × 997.04
  4. Step 4: Simplify right side
    3,076.98x = 4,602,054.33
  5. Step 5: Solve for x
    x = 4,602,054.33/3,076.98
  6. Step 6: Final answer
    x = 1,495.64

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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.