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Finding the Fourth Proportional to 3,419.27, 4,718.57 and 1,927.65

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Solution

The fourth proportional to 3,419.27, 4,718.57 and 1,927.65 is: 2,660.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,419.27 : 4,718.57 = 1,927.65 : x
  2. Step 2: Convert to fraction form
    3,419.27/4,718.57 = 1,927.65/x
  3. Step 3: Cross multiply
    3,419.27x = 4,718.57 × 1,927.65
  4. Step 4: Simplify right side
    3,419.27x = 9,095,751.46
  5. Step 5: Solve for x
    x = 9,095,751.46/3,419.27
  6. Step 6: Final answer
    x = 2,660.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.