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Finding the Fourth Proportional to 2,795.59, 4,193.57 and 946.45

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Solution

The fourth proportional to 2,795.59, 4,193.57 and 946.45 is: 1,419.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,795.59 : 4,193.57 = 946.45 : x
  2. Step 2: Convert to fraction form
    2,795.59/4,193.57 = 946.45/x
  3. Step 3: Cross multiply
    2,795.59x = 4,193.57 × 946.45
  4. Step 4: Simplify right side
    2,795.59x = 3,969,004.33
  5. Step 5: Solve for x
    x = 3,969,004.33/2,795.59
  6. Step 6: Final answer
    x = 1,419.74

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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.