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Finding the Fourth Proportional to 2,606.35, 3,907.62 and 1,782.04

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Solution

The fourth proportional to 2,606.35, 3,907.62 and 1,782.04 is: 2,671.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,606.35 : 3,907.62 = 1,782.04 : x
  2. Step 2: Convert to fraction form
    2,606.35/3,907.62 = 1,782.04/x
  3. Step 3: Cross multiply
    2,606.35x = 3,907.62 × 1,782.04
  4. Step 4: Simplify right side
    2,606.35x = 6,963,535.14
  5. Step 5: Solve for x
    x = 6,963,535.14/2,606.35
  6. Step 6: Final answer
    x = 2,671.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.