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Finding the Fourth Proportional to 1,804.55, 2,703.32 and 1,186.39

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Solution

The fourth proportional to 1,804.55, 2,703.32 and 1,186.39 is: 1,777.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,804.55 : 2,703.32 = 1,186.39 : x
  2. Step 2: Convert to fraction form
    1,804.55/2,703.32 = 1,186.39/x
  3. Step 3: Cross multiply
    1,804.55x = 2,703.32 × 1,186.39
  4. Step 4: Simplify right side
    1,804.55x = 3,207,191.81
  5. Step 5: Solve for x
    x = 3,207,191.81/1,804.55
  6. Step 6: Final answer
    x = 1,777.28

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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.