Home / 1,219.78-1,828.05-1,089.64

Finding the Fourth Proportional to 1,219.78, 1,828.05 and 1,089.64

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Solution

The fourth proportional to 1,219.78, 1,828.05 and 1,089.64 is: 1,633.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.78 : 1,828.05 = 1,089.64 : x
  2. Step 2: Convert to fraction form
    1,219.78/1,828.05 = 1,089.64/x
  3. Step 3: Cross multiply
    1,219.78x = 1,828.05 × 1,089.64
  4. Step 4: Simplify right side
    1,219.78x = 1,991,916.40
  5. Step 5: Solve for x
    x = 1,991,916.40/1,219.78
  6. Step 6: Final answer
    x = 1,633.01

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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.