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Finding the Fourth Proportional to 2,698.46, 4,051.07 and 2,573.81

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Solution

The fourth proportional to 2,698.46, 4,051.07 and 2,573.81 is: 3,863.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,698.46 : 4,051.07 = 2,573.81 : x
  2. Step 2: Convert to fraction form
    2,698.46/4,051.07 = 2,573.81/x
  3. Step 3: Cross multiply
    2,698.46x = 4,051.07 × 2,573.81
  4. Step 4: Simplify right side
    2,698.46x = 10,426,684.48
  5. Step 5: Solve for x
    x = 10,426,684.48/2,698.46
  6. Step 6: Final answer
    x = 3,863.94

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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.