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Finding the Fourth Proportional to 1,185.87, 1,778.55 and 1,127.34

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Solution

The fourth proportional to 1,185.87, 1,778.55 and 1,127.34 is: 1,690.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,185.87 : 1,778.55 = 1,127.34 : x
  2. Step 2: Convert to fraction form
    1,185.87/1,778.55 = 1,127.34/x
  3. Step 3: Cross multiply
    1,185.87x = 1,778.55 × 1,127.34
  4. Step 4: Simplify right side
    1,185.87x = 2,005,030.56
  5. Step 5: Solve for x
    x = 2,005,030.56/1,185.87
  6. Step 6: Final answer
    x = 1,690.77

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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.