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Finding the Fourth Proportional to 1,978.70, 2,954.61 and 1,770.93

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Solution

The fourth proportional to 1,978.70, 2,954.61 and 1,770.93 is: 2,644.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,978.70 : 2,954.61 = 1,770.93 : x
  2. Step 2: Convert to fraction form
    1,978.70/2,954.61 = 1,770.93/x
  3. Step 3: Cross multiply
    1,978.70x = 2,954.61 × 1,770.93
  4. Step 4: Simplify right side
    1,978.70x = 5,232,407.49
  5. Step 5: Solve for x
    x = 5,232,407.49/1,978.70
  6. Step 6: Final answer
    x = 2,644.37

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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.