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Finding the Fourth Proportional to 3,077.30, 4,615.49 and 997.48

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Solution

The fourth proportional to 3,077.30, 4,615.49 and 997.48 is: 1,496.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,077.30 : 4,615.49 = 997.48 : x
  2. Step 2: Convert to fraction form
    3,077.30/4,615.49 = 997.48/x
  3. Step 3: Cross multiply
    3,077.30x = 4,615.49 × 997.48
  4. Step 4: Simplify right side
    3,077.30x = 4,603,870.50
  5. Step 5: Solve for x
    x = 4,603,870.50/3,077.30
  6. Step 6: Final answer
    x = 1,496.08

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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.