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Finding the Fourth Proportional to 1,763.08, 2,638.42 and 1,415.56

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Solution

The fourth proportional to 1,763.08, 2,638.42 and 1,415.56 is: 2,118.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,763.08 : 2,638.42 = 1,415.56 : x
  2. Step 2: Convert to fraction form
    1,763.08/2,638.42 = 1,415.56/x
  3. Step 3: Cross multiply
    1,763.08x = 2,638.42 × 1,415.56
  4. Step 4: Simplify right side
    1,763.08x = 3,734,841.82
  5. Step 5: Solve for x
    x = 3,734,841.82/1,763.08
  6. Step 6: Final answer
    x = 2,118.36

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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.