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Finding the Fourth Proportional to 2,795.32, 4,193.60 and 946.28

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Solution

The fourth proportional to 2,795.32, 4,193.60 and 946.28 is: 1,419.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,795.32 : 4,193.60 = 946.28 : x
  2. Step 2: Convert to fraction form
    2,795.32/4,193.60 = 946.28/x
  3. Step 3: Cross multiply
    2,795.32x = 4,193.60 × 946.28
  4. Step 4: Simplify right side
    2,795.32x = 3,968,319.81
  5. Step 5: Solve for x
    x = 3,968,319.81/2,795.32
  6. Step 6: Final answer
    x = 1,419.63

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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.