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Finding the Fourth Proportional to 2,530, 3,491.40 and 1,599.76

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Solution

The fourth proportional to 2,530, 3,491.40 and 1,599.76 is: 2,207.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,530 : 3,491.40 = 1,599.76 : x
  2. Step 2: Convert to fraction form
    2,530/3,491.40 = 1,599.76/x
  3. Step 3: Cross multiply
    2,530x = 3,491.40 × 1,599.76
  4. Step 4: Simplify right side
    2,530x = 5,585,402.06
  5. Step 5: Solve for x
    x = 5,585,402.06/2,530
  6. Step 6: Final answer
    x = 2,207.67

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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.