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Finding the Fourth Proportional to 1,765.15, 2,436.74 and 1,102.98

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Solution

The fourth proportional to 1,765.15, 2,436.74 and 1,102.98 is: 1,522.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,765.15 : 2,436.74 = 1,102.98 : x
  2. Step 2: Convert to fraction form
    1,765.15/2,436.74 = 1,102.98/x
  3. Step 3: Cross multiply
    1,765.15x = 2,436.74 × 1,102.98
  4. Step 4: Simplify right side
    1,765.15x = 2,687,675.49
  5. Step 5: Solve for x
    x = 2,687,675.49/1,765.15
  6. Step 6: Final answer
    x = 1,522.63

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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.