Home / 1,220.10-1,826.70-949.35

Finding the Fourth Proportional to 1,220.10, 1,826.70 and 949.35

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Solution

The fourth proportional to 1,220.10, 1,826.70 and 949.35 is: 1,421.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220.10 : 1,826.70 = 949.35 : x
  2. Step 2: Convert to fraction form
    1,220.10/1,826.70 = 949.35/x
  3. Step 3: Cross multiply
    1,220.10x = 1,826.70 × 949.35
  4. Step 4: Simplify right side
    1,220.10x = 1,734,177.65
  5. Step 5: Solve for x
    x = 1,734,177.65/1,220.10
  6. Step 6: Final answer
    x = 1,421.34

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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.