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Finding the Fourth Proportional to 2,725.89, 3,761.23 and 1,830.93

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Solution

The fourth proportional to 2,725.89, 3,761.23 and 1,830.93 is: 2,526.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,725.89 : 3,761.23 = 1,830.93 : x
  2. Step 2: Convert to fraction form
    2,725.89/3,761.23 = 1,830.93/x
  3. Step 3: Cross multiply
    2,725.89x = 3,761.23 × 1,830.93
  4. Step 4: Simplify right side
    2,725.89x = 6,886,548.84
  5. Step 5: Solve for x
    x = 6,886,548.84/2,725.89
  6. Step 6: Final answer
    x = 2,526.35

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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.