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Finding the Fourth Proportional to 3,035.94, 4,546.54 and 1,733.46

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Solution

The fourth proportional to 3,035.94, 4,546.54 and 1,733.46 is: 2,595.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,035.94 : 4,546.54 = 1,733.46 : x
  2. Step 2: Convert to fraction form
    3,035.94/4,546.54 = 1,733.46/x
  3. Step 3: Cross multiply
    3,035.94x = 4,546.54 × 1,733.46
  4. Step 4: Simplify right side
    3,035.94x = 7,881,245.23
  5. Step 5: Solve for x
    x = 7,881,245.23/3,035.94
  6. Step 6: Final answer
    x = 2,595.98

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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.