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Finding the Fourth Proportional to 3,466.65, 4,783.98 and 2,140.37

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Solution

The fourth proportional to 3,466.65, 4,783.98 and 2,140.37 is: 2,953.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,466.65 : 4,783.98 = 2,140.37 : x
  2. Step 2: Convert to fraction form
    3,466.65/4,783.98 = 2,140.37/x
  3. Step 3: Cross multiply
    3,466.65x = 4,783.98 × 2,140.37
  4. Step 4: Simplify right side
    3,466.65x = 10,239,463.35
  5. Step 5: Solve for x
    x = 10,239,463.35/3,466.65
  6. Step 6: Final answer
    x = 2,953.71

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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.