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Finding the Fourth Proportional to 4,600.64, 6,902.64 and 2,260.40

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Solution

The fourth proportional to 4,600.64, 6,902.64 and 2,260.40 is: 3,391.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,600.64 : 6,902.64 = 2,260.40 : x
  2. Step 2: Convert to fraction form
    4,600.64/6,902.64 = 2,260.40/x
  3. Step 3: Cross multiply
    4,600.64x = 6,902.64 × 2,260.40
  4. Step 4: Simplify right side
    4,600.64x = 15,602,727.46
  5. Step 5: Solve for x
    x = 15,602,727.46/4,600.64
  6. Step 6: Final answer
    x = 3,391.43

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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.