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Finding the Fourth Proportional to 3,313.24, 4,969.70 and 973.15

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Solution

The fourth proportional to 3,313.24, 4,969.70 and 973.15 is: 1,459.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,313.24 : 4,969.70 = 973.15 : x
  2. Step 2: Convert to fraction form
    3,313.24/4,969.70 = 973.15/x
  3. Step 3: Cross multiply
    3,313.24x = 4,969.70 × 973.15
  4. Step 4: Simplify right side
    3,313.24x = 4,836,265.99
  5. Step 5: Solve for x
    x = 4,836,265.99/3,313.24
  6. Step 6: Final answer
    x = 1,459.68

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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.