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Finding the Fourth Proportional to 1,648.66, 2,274.09 and 985

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Solution

The fourth proportional to 1,648.66, 2,274.09 and 985 is: 1,358.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648.66 : 2,274.09 = 985 : x
  2. Step 2: Convert to fraction form
    1,648.66/2,274.09 = 985/x
  3. Step 3: Cross multiply
    1,648.66x = 2,274.09 × 985
  4. Step 4: Simplify right side
    1,648.66x = 2,239,978.65
  5. Step 5: Solve for x
    x = 2,239,978.65/1,648.66
  6. Step 6: Final answer
    x = 1,358.67

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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.