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Finding the Fourth Proportional to 2,356.94, 3,250.39 and 1,516.16

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Solution

The fourth proportional to 2,356.94, 3,250.39 and 1,516.16 is: 2,090.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,356.94 : 3,250.39 = 1,516.16 : x
  2. Step 2: Convert to fraction form
    2,356.94/3,250.39 = 1,516.16/x
  3. Step 3: Cross multiply
    2,356.94x = 3,250.39 × 1,516.16
  4. Step 4: Simplify right side
    2,356.94x = 4,928,111.30
  5. Step 5: Solve for x
    x = 4,928,111.30/2,356.94
  6. Step 6: Final answer
    x = 2,090.89

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Why These Related Problems?

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