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Finding the Fourth Proportional to 4,602.67, 6,905.64 and 1,969.07

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Solution

The fourth proportional to 4,602.67, 6,905.64 and 1,969.07 is: 2,954.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,602.67 : 6,905.64 = 1,969.07 : x
  2. Step 2: Convert to fraction form
    4,602.67/6,905.64 = 1,969.07/x
  3. Step 3: Cross multiply
    4,602.67x = 6,905.64 × 1,969.07
  4. Step 4: Simplify right side
    4,602.67x = 13,597,688.55
  5. Step 5: Solve for x
    x = 13,597,688.55/4,602.67
  6. Step 6: Final answer
    x = 2,954.30

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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.