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Finding the Fourth Proportional to 2,945.24, 4,417.74 and 997.44

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Solution

The fourth proportional to 2,945.24, 4,417.74 and 997.44 is: 1,496.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,945.24 : 4,417.74 = 997.44 : x
  2. Step 2: Convert to fraction form
    2,945.24/4,417.74 = 997.44/x
  3. Step 3: Cross multiply
    2,945.24x = 4,417.74 × 997.44
  4. Step 4: Simplify right side
    2,945.24x = 4,406,430.59
  5. Step 5: Solve for x
    x = 4,406,430.59/2,945.24
  6. Step 6: Final answer
    x = 1,496.12

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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.