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Finding the Fourth Proportional to 3,298.94, 4,946.76 and 1,106.94

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Solution

The fourth proportional to 3,298.94, 4,946.76 and 1,106.94 is: 1,659.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,298.94 : 4,946.76 = 1,106.94 : x
  2. Step 2: Convert to fraction form
    3,298.94/4,946.76 = 1,106.94/x
  3. Step 3: Cross multiply
    3,298.94x = 4,946.76 × 1,106.94
  4. Step 4: Simplify right side
    3,298.94x = 5,475,766.51
  5. Step 5: Solve for x
    x = 5,475,766.51/3,298.94
  6. Step 6: Final answer
    x = 1,659.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.