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Finding the Fourth Proportional to 1,858.26, 2,564.39 and 1,019

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Solution

The fourth proportional to 1,858.26, 2,564.39 and 1,019 is: 1,406.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,858.26 : 2,564.39 = 1,019 : x
  2. Step 2: Convert to fraction form
    1,858.26/2,564.39 = 1,019/x
  3. Step 3: Cross multiply
    1,858.26x = 2,564.39 × 1,019
  4. Step 4: Simplify right side
    1,858.26x = 2,613,113.41
  5. Step 5: Solve for x
    x = 2,613,113.41/1,858.26
  6. Step 6: Final answer
    x = 1,406.22

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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.