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Finding the Fourth Proportional to 1,858.94, 2,782.96 and 979.37

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Solution

The fourth proportional to 1,858.94, 2,782.96 and 979.37 is: 1,466.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,858.94 : 2,782.96 = 979.37 : x
  2. Step 2: Convert to fraction form
    1,858.94/2,782.96 = 979.37/x
  3. Step 3: Cross multiply
    1,858.94x = 2,782.96 × 979.37
  4. Step 4: Simplify right side
    1,858.94x = 2,725,547.54
  5. Step 5: Solve for x
    x = 2,725,547.54/1,858.94
  6. Step 6: Final answer
    x = 1,466.18

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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.