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Finding the Fourth Proportional to 2,700.94, 3,727.29 and 1,458.94

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Solution

The fourth proportional to 2,700.94, 3,727.29 and 1,458.94 is: 2,013.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,700.94 : 3,727.29 = 1,458.94 : x
  2. Step 2: Convert to fraction form
    2,700.94/3,727.29 = 1,458.94/x
  3. Step 3: Cross multiply
    2,700.94x = 3,727.29 × 1,458.94
  4. Step 4: Simplify right side
    2,700.94x = 5,437,888.63
  5. Step 5: Solve for x
    x = 5,437,888.63/2,700.94
  6. Step 6: Final answer
    x = 2,013.33

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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.