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Finding the Fourth Proportional to 3,077.05, 4,615.12 and 997.23

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Solution

The fourth proportional to 3,077.05, 4,615.12 and 997.23 is: 1,495.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,077.05 : 4,615.12 = 997.23 : x
  2. Step 2: Convert to fraction form
    3,077.05/4,615.12 = 997.23/x
  3. Step 3: Cross multiply
    3,077.05x = 4,615.12 × 997.23
  4. Step 4: Simplify right side
    3,077.05x = 4,602,342.67
  5. Step 5: Solve for x
    x = 4,602,342.67/3,077.05
  6. Step 6: Final answer
    x = 1,495.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.