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Finding the Fourth Proportional to 3,460.70, 4,770.82 and 2,133.52

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Solution

The fourth proportional to 3,460.70, 4,770.82 and 2,133.52 is: 2,941.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,460.70 : 4,770.82 = 2,133.52 : x
  2. Step 2: Convert to fraction form
    3,460.70/4,770.82 = 2,133.52/x
  3. Step 3: Cross multiply
    3,460.70x = 4,770.82 × 2,133.52
  4. Step 4: Simplify right side
    3,460.70x = 10,178,639.89
  5. Step 5: Solve for x
    x = 10,178,639.89/3,460.70
  6. Step 6: Final answer
    x = 2,941.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.