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Finding the Fourth Proportional to 2,473.63, 3,710.05 and 914.37

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Solution

The fourth proportional to 2,473.63, 3,710.05 and 914.37 is: 1,371.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,473.63 : 3,710.05 = 914.37 : x
  2. Step 2: Convert to fraction form
    2,473.63/3,710.05 = 914.37/x
  3. Step 3: Cross multiply
    2,473.63x = 3,710.05 × 914.37
  4. Step 4: Simplify right side
    2,473.63x = 3,392,358.42
  5. Step 5: Solve for x
    x = 3,392,358.42/2,473.63
  6. Step 6: Final answer
    x = 1,371.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.