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Finding the Fourth Proportional to 2,725.90, 3,762.23 and 1,606.77

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Solution

The fourth proportional to 2,725.90, 3,762.23 and 1,606.77 is: 2,217.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,725.90 : 3,762.23 = 1,606.77 : x
  2. Step 2: Convert to fraction form
    2,725.90/3,762.23 = 1,606.77/x
  3. Step 3: Cross multiply
    2,725.90x = 3,762.23 × 1,606.77
  4. Step 4: Simplify right side
    2,725.90x = 6,045,030.26
  5. Step 5: Solve for x
    x = 6,045,030.26/2,725.90
  6. Step 6: Final answer
    x = 2,217.63

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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.