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Finding the Fourth Proportional to 1,415.98, 2,125.80 and 1,091.56

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Solution

The fourth proportional to 1,415.98, 2,125.80 and 1,091.56 is: 1,638.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.98 : 2,125.80 = 1,091.56 : x
  2. Step 2: Convert to fraction form
    1,415.98/2,125.80 = 1,091.56/x
  3. Step 3: Cross multiply
    1,415.98x = 2,125.80 × 1,091.56
  4. Step 4: Simplify right side
    1,415.98x = 2,320,438.25
  5. Step 5: Solve for x
    x = 2,320,438.25/1,415.98
  6. Step 6: Final answer
    x = 1,638.75

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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.