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Finding the Fourth Proportional to 2,698.34, 4,047.52 and 967.02

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Solution

The fourth proportional to 2,698.34, 4,047.52 and 967.02 is: 1,450.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,698.34 : 4,047.52 = 967.02 : x
  2. Step 2: Convert to fraction form
    2,698.34/4,047.52 = 967.02/x
  3. Step 3: Cross multiply
    2,698.34x = 4,047.52 × 967.02
  4. Step 4: Simplify right side
    2,698.34x = 3,914,032.79
  5. Step 5: Solve for x
    x = 3,914,032.79/2,698.34
  6. Step 6: Final answer
    x = 1,450.53

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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.