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Finding the Fourth Proportional to 3,313.19, 4,969.76 and 848.00

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Solution

The fourth proportional to 3,313.19, 4,969.76 and 848.00 is: 1,272.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,313.19 : 4,969.76 = 848.00 : x
  2. Step 2: Convert to fraction form
    3,313.19/4,969.76 = 848.00/x
  3. Step 3: Cross multiply
    3,313.19x = 4,969.76 × 848.00
  4. Step 4: Simplify right side
    3,313.19x = 4,214,364.66
  5. Step 5: Solve for x
    x = 4,214,364.66/3,313.19
  6. Step 6: Final answer
    x = 1,272.00

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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.