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Finding the Fourth Proportional to 2,945.29, 4,417.82 and 997.49

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Solution

The fourth proportional to 2,945.29, 4,417.82 and 997.49 is: 1,496.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,945.29 : 4,417.82 = 997.49 : x
  2. Step 2: Convert to fraction form
    2,945.29/4,417.82 = 997.49/x
  3. Step 3: Cross multiply
    2,945.29x = 4,417.82 × 997.49
  4. Step 4: Simplify right side
    2,945.29x = 4,406,741.07
  5. Step 5: Solve for x
    x = 4,406,741.07/2,945.29
  6. Step 6: Final answer
    x = 1,496.20

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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.