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Finding the Fourth Proportional to 4,617.68, 6,927.44 and 1,696.01

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Solution

The fourth proportional to 4,617.68, 6,927.44 and 1,696.01 is: 2,544.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,617.68 : 6,927.44 = 1,696.01 : x
  2. Step 2: Convert to fraction form
    4,617.68/6,927.44 = 1,696.01/x
  3. Step 3: Cross multiply
    4,617.68x = 6,927.44 × 1,696.01
  4. Step 4: Simplify right side
    4,617.68x = 11,749,007.51
  5. Step 5: Solve for x
    x = 11,749,007.51/4,617.68
  6. Step 6: Final answer
    x = 2,544.35

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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.