Home / 1,449.24-2,165.58-983.13

Finding the Fourth Proportional to 1,449.24, 2,165.58 and 983.13

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Solution

The fourth proportional to 1,449.24, 2,165.58 and 983.13 is: 1,469.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,449.24 : 2,165.58 = 983.13 : x
  2. Step 2: Convert to fraction form
    1,449.24/2,165.58 = 983.13/x
  3. Step 3: Cross multiply
    1,449.24x = 2,165.58 × 983.13
  4. Step 4: Simplify right side
    1,449.24x = 2,129,041.75
  5. Step 5: Solve for x
    x = 2,129,041.75/1,449.24
  6. Step 6: Final answer
    x = 1,469.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.