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Finding the Fourth Proportional to 1,970.22, 2,954.65 and 583.19

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Solution

The fourth proportional to 1,970.22, 2,954.65 and 583.19 is: 874.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,970.22 : 2,954.65 = 583.19 : x
  2. Step 2: Convert to fraction form
    1,970.22/2,954.65 = 583.19/x
  3. Step 3: Cross multiply
    1,970.22x = 2,954.65 × 583.19
  4. Step 4: Simplify right side
    1,970.22x = 1,723,122.33
  5. Step 5: Solve for x
    x = 1,723,122.33/1,970.22
  6. Step 6: Final answer
    x = 874.58

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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.