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Finding the Fourth Proportional to 2,668.86, 3,683.24 and 1,473.95

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Solution

The fourth proportional to 2,668.86, 3,683.24 and 1,473.95 is: 2,034.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,668.86 : 3,683.24 = 1,473.95 : x
  2. Step 2: Convert to fraction form
    2,668.86/3,683.24 = 1,473.95/x
  3. Step 3: Cross multiply
    2,668.86x = 3,683.24 × 1,473.95
  4. Step 4: Simplify right side
    2,668.86x = 5,428,911.60
  5. Step 5: Solve for x
    x = 5,428,911.60/2,668.86
  6. Step 6: Final answer
    x = 2,034.17

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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.