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Finding the Fourth Proportional to 4,602.14, 6,904.05 and 1,682.54

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Solution

The fourth proportional to 4,602.14, 6,904.05 and 1,682.54 is: 2,524.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,602.14 : 6,904.05 = 1,682.54 : x
  2. Step 2: Convert to fraction form
    4,602.14/6,904.05 = 1,682.54/x
  3. Step 3: Cross multiply
    4,602.14x = 6,904.05 × 1,682.54
  4. Step 4: Simplify right side
    4,602.14x = 11,616,340.29
  5. Step 5: Solve for x
    x = 11,616,340.29/4,602.14
  6. Step 6: Final answer
    x = 2,524.12

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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.