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Finding the Fourth Proportional to 1,395.40, 2,093.10 and 1,186.60

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Solution

The fourth proportional to 1,395.40, 2,093.10 and 1,186.60 is: 1,779.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,395.40 : 2,093.10 = 1,186.60 : x
  2. Step 2: Convert to fraction form
    1,395.40/2,093.10 = 1,186.60/x
  3. Step 3: Cross multiply
    1,395.40x = 2,093.10 × 1,186.60
  4. Step 4: Simplify right side
    1,395.40x = 2,483,672.46
  5. Step 5: Solve for x
    x = 2,483,672.46/1,395.40
  6. Step 6: Final answer
    x = 1,779.90

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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.