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Finding the Fourth Proportional to 3,114.68, 4,653.94 and 2,359.22

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Solution

The fourth proportional to 3,114.68, 4,653.94 and 2,359.22 is: 3,525.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,114.68 : 4,653.94 = 2,359.22 : x
  2. Step 2: Convert to fraction form
    3,114.68/4,653.94 = 2,359.22/x
  3. Step 3: Cross multiply
    3,114.68x = 4,653.94 × 2,359.22
  4. Step 4: Simplify right side
    3,114.68x = 10,979,668.33
  5. Step 5: Solve for x
    x = 10,979,668.33/3,114.68
  6. Step 6: Final answer
    x = 3,525.14

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.