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Finding the Fourth Proportional to 1,378.11, 1,889.63 and 1,337.11

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Solution

The fourth proportional to 1,378.11, 1,889.63 and 1,337.11 is: 1,833.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378.11 : 1,889.63 = 1,337.11 : x
  2. Step 2: Convert to fraction form
    1,378.11/1,889.63 = 1,337.11/x
  3. Step 3: Cross multiply
    1,378.11x = 1,889.63 × 1,337.11
  4. Step 4: Simplify right side
    1,378.11x = 2,526,636.77
  5. Step 5: Solve for x
    x = 2,526,636.77/1,378.11
  6. Step 6: Final answer
    x = 1,833.40

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.