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Finding the Fourth Proportional to 2,313.46, 3,470.73 and 1,583.38

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Solution

The fourth proportional to 2,313.46, 3,470.73 and 1,583.38 is: 2,375.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,313.46 : 3,470.73 = 1,583.38 : x
  2. Step 2: Convert to fraction form
    2,313.46/3,470.73 = 1,583.38/x
  3. Step 3: Cross multiply
    2,313.46x = 3,470.73 × 1,583.38
  4. Step 4: Simplify right side
    2,313.46x = 5,495,484.47
  5. Step 5: Solve for x
    x = 5,495,484.47/2,313.46
  6. Step 6: Final answer
    x = 2,375.44

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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.