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Finding the Fourth Proportional to 4,602.56, 6,901.07 and 1,829.66

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Solution

The fourth proportional to 4,602.56, 6,901.07 and 1,829.66 is: 2,743.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,602.56 : 6,901.07 = 1,829.66 : x
  2. Step 2: Convert to fraction form
    4,602.56/6,901.07 = 1,829.66/x
  3. Step 3: Cross multiply
    4,602.56x = 6,901.07 × 1,829.66
  4. Step 4: Simplify right side
    4,602.56x = 12,626,568.08
  5. Step 5: Solve for x
    x = 12,626,568.08/4,602.56
  6. Step 6: Final answer
    x = 2,743.38

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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.