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Finding the Fourth Proportional to 2,148.63, 3,222.95 and 687.78

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Solution

The fourth proportional to 2,148.63, 3,222.95 and 687.78 is: 1,031.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,148.63 : 3,222.95 = 687.78 : x
  2. Step 2: Convert to fraction form
    2,148.63/3,222.95 = 687.78/x
  3. Step 3: Cross multiply
    2,148.63x = 3,222.95 × 687.78
  4. Step 4: Simplify right side
    2,148.63x = 2,216,677.11
  5. Step 5: Solve for x
    x = 2,216,677.11/2,148.63
  6. Step 6: Final answer
    x = 1,031.67

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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.