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Finding the Fourth Proportional to 3,148.68, 4,345.71 and 1,823.19

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Solution

The fourth proportional to 3,148.68, 4,345.71 and 1,823.19 is: 2,516.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,148.68 : 4,345.71 = 1,823.19 : x
  2. Step 2: Convert to fraction form
    3,148.68/4,345.71 = 1,823.19/x
  3. Step 3: Cross multiply
    3,148.68x = 4,345.71 × 1,823.19
  4. Step 4: Simplify right side
    3,148.68x = 7,923,055.01
  5. Step 5: Solve for x
    x = 7,923,055.01/3,148.68
  6. Step 6: Final answer
    x = 2,516.31

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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.