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Finding the Fourth Proportional to 2,946.97, 4,420.18 and 999.19

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Solution

The fourth proportional to 2,946.97, 4,420.18 and 999.19 is: 1,498.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,946.97 : 4,420.18 = 999.19 : x
  2. Step 2: Convert to fraction form
    2,946.97/4,420.18 = 999.19/x
  3. Step 3: Cross multiply
    2,946.97x = 4,420.18 × 999.19
  4. Step 4: Simplify right side
    2,946.97x = 4,416,599.65
  5. Step 5: Solve for x
    x = 4,416,599.65/2,946.97
  6. Step 6: Final answer
    x = 1,498.69

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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.