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Finding the Fourth Proportional to 1,131.93, 1,686.78 and 1,094.77

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Solution

The fourth proportional to 1,131.93, 1,686.78 and 1,094.77 is: 1,631.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,131.93 : 1,686.78 = 1,094.77 : x
  2. Step 2: Convert to fraction form
    1,131.93/1,686.78 = 1,094.77/x
  3. Step 3: Cross multiply
    1,131.93x = 1,686.78 × 1,094.77
  4. Step 4: Simplify right side
    1,131.93x = 1,846,636.14
  5. Step 5: Solve for x
    x = 1,846,636.14/1,131.93
  6. Step 6: Final answer
    x = 1,631.40

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.