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Finding the Fourth Proportional to 2,135.39, 2,947.22 and 1,696.64

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Solution

The fourth proportional to 2,135.39, 2,947.22 and 1,696.64 is: 2,341.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,135.39 : 2,947.22 = 1,696.64 : x
  2. Step 2: Convert to fraction form
    2,135.39/2,947.22 = 1,696.64/x
  3. Step 3: Cross multiply
    2,135.39x = 2,947.22 × 1,696.64
  4. Step 4: Simplify right side
    2,135.39x = 5,000,371.34
  5. Step 5: Solve for x
    x = 5,000,371.34/2,135.39
  6. Step 6: Final answer
    x = 2,341.67

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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.