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Finding the Fourth Proportional to 1,973.88, 2,944.14 and 1,859.68

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Solution

The fourth proportional to 1,973.88, 2,944.14 and 1,859.68 is: 2,773.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,973.88 : 2,944.14 = 1,859.68 : x
  2. Step 2: Convert to fraction form
    1,973.88/2,944.14 = 1,859.68/x
  3. Step 3: Cross multiply
    1,973.88x = 2,944.14 × 1,859.68
  4. Step 4: Simplify right side
    1,973.88x = 5,475,158.28
  5. Step 5: Solve for x
    x = 5,475,158.28/1,973.88
  6. Step 6: Final answer
    x = 2,773.81

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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.