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Finding the Fourth Proportional to 2,969.36, 4,448.36 and 1,799.72

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Solution

The fourth proportional to 2,969.36, 4,448.36 and 1,799.72 is: 2,696.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969.36 : 4,448.36 = 1,799.72 : x
  2. Step 2: Convert to fraction form
    2,969.36/4,448.36 = 1,799.72/x
  3. Step 3: Cross multiply
    2,969.36x = 4,448.36 × 1,799.72
  4. Step 4: Simplify right side
    2,969.36x = 8,005,784.72
  5. Step 5: Solve for x
    x = 8,005,784.72/2,969.36
  6. Step 6: Final answer
    x = 2,696.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.