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Finding the Fourth Proportional to 1,830.84, 2,747.03 and 1,173.46

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Solution

The fourth proportional to 1,830.84, 2,747.03 and 1,173.46 is: 1,760.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,830.84 : 2,747.03 = 1,173.46 : x
  2. Step 2: Convert to fraction form
    1,830.84/2,747.03 = 1,173.46/x
  3. Step 3: Cross multiply
    1,830.84x = 2,747.03 × 1,173.46
  4. Step 4: Simplify right side
    1,830.84x = 3,223,529.82
  5. Step 5: Solve for x
    x = 3,223,529.82/1,830.84
  6. Step 6: Final answer
    x = 1,760.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.