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Finding the Fourth Proportional to 2,433.49, 3,651.18 and 973.06

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Solution

The fourth proportional to 2,433.49, 3,651.18 and 973.06 is: 1,459.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,433.49 : 3,651.18 = 973.06 : x
  2. Step 2: Convert to fraction form
    2,433.49/3,651.18 = 973.06/x
  3. Step 3: Cross multiply
    2,433.49x = 3,651.18 × 973.06
  4. Step 4: Simplify right side
    2,433.49x = 3,552,817.21
  5. Step 5: Solve for x
    x = 3,552,817.21/2,433.49
  6. Step 6: Final answer
    x = 1,459.97

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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.