Home / 1,369.26-2,051.16-1,023

Finding the Fourth Proportional to 1,369.26, 2,051.16 and 1,023

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Solution

The fourth proportional to 1,369.26, 2,051.16 and 1,023 is: 1,532.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,369.26 : 2,051.16 = 1,023 : x
  2. Step 2: Convert to fraction form
    1,369.26/2,051.16 = 1,023/x
  3. Step 3: Cross multiply
    1,369.26x = 2,051.16 × 1,023
  4. Step 4: Simplify right side
    1,369.26x = 2,098,336.68
  5. Step 5: Solve for x
    x = 2,098,336.68/1,369.26
  6. Step 6: Final answer
    x = 1,532.46

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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.