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Finding the Fourth Proportional to 2,323.34, 3,485.02 and 568.34

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Solution

The fourth proportional to 2,323.34, 3,485.02 and 568.34 is: 852.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,323.34 : 3,485.02 = 568.34 : x
  2. Step 2: Convert to fraction form
    2,323.34/3,485.02 = 568.34/x
  3. Step 3: Cross multiply
    2,323.34x = 3,485.02 × 568.34
  4. Step 4: Simplify right side
    2,323.34x = 1,980,683.56
  5. Step 5: Solve for x
    x = 1,980,683.56/2,323.34
  6. Step 6: Final answer
    x = 852.51

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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.