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Finding the Fourth Proportional to 2,946.36, 4,419.54 and 999.94

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Solution

The fourth proportional to 2,946.36, 4,419.54 and 999.94 is: 1,499.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,946.36 : 4,419.54 = 999.94 : x
  2. Step 2: Convert to fraction form
    2,946.36/4,419.54 = 999.94/x
  3. Step 3: Cross multiply
    2,946.36x = 4,419.54 × 999.94
  4. Step 4: Simplify right side
    2,946.36x = 4,419,274.83
  5. Step 5: Solve for x
    x = 4,419,274.83/2,946.36
  6. Step 6: Final answer
    x = 1,499.91

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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.