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Finding the Fourth Proportional to 2,946.39, 4,419.56 and 999.96

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Solution

The fourth proportional to 2,946.39, 4,419.56 and 999.96 is: 1,499.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,946.39 : 4,419.56 = 999.96 : x
  2. Step 2: Convert to fraction form
    2,946.39/4,419.56 = 999.96/x
  3. Step 3: Cross multiply
    2,946.39x = 4,419.56 × 999.96
  4. Step 4: Simplify right side
    2,946.39x = 4,419,378.22
  5. Step 5: Solve for x
    x = 4,419,378.22/2,946.39
  6. Step 6: Final answer
    x = 1,499.93

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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.