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Finding the Fourth Proportional to 1,365.31, 1,889.04 and 1,190.98

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Solution

The fourth proportional to 1,365.31, 1,889.04 and 1,190.98 is: 1,647.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,365.31 : 1,889.04 = 1,190.98 : x
  2. Step 2: Convert to fraction form
    1,365.31/1,889.04 = 1,190.98/x
  3. Step 3: Cross multiply
    1,365.31x = 1,889.04 × 1,190.98
  4. Step 4: Simplify right side
    1,365.31x = 2,249,808.86
  5. Step 5: Solve for x
    x = 2,249,808.86/1,365.31
  6. Step 6: Final answer
    x = 1,647.84

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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.