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Finding the Fourth Proportional to 2,245.63, 3,368.45 and 946.27

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Solution

The fourth proportional to 2,245.63, 3,368.45 and 946.27 is: 1,419.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,245.63 : 3,368.45 = 946.27 : x
  2. Step 2: Convert to fraction form
    2,245.63/3,368.45 = 946.27/x
  3. Step 3: Cross multiply
    2,245.63x = 3,368.45 × 946.27
  4. Step 4: Simplify right side
    2,245.63x = 3,187,463.18
  5. Step 5: Solve for x
    x = 3,187,463.18/2,245.63
  6. Step 6: Final answer
    x = 1,419.41

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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.