Home / 1,466.24-2,023.29-803.09

Finding the Fourth Proportional to 1,466.24, 2,023.29 and 803.09

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Solution

The fourth proportional to 1,466.24, 2,023.29 and 803.09 is: 1,108.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,466.24 : 2,023.29 = 803.09 : x
  2. Step 2: Convert to fraction form
    1,466.24/2,023.29 = 803.09/x
  3. Step 3: Cross multiply
    1,466.24x = 2,023.29 × 803.09
  4. Step 4: Simplify right side
    1,466.24x = 1,624,889.02
  5. Step 5: Solve for x
    x = 1,624,889.02/1,466.24
  6. Step 6: Final answer
    x = 1,108.21

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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.