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Finding the Fourth Proportional to 1,316.36, 1,973.26 and 1,100.36

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Solution

The fourth proportional to 1,316.36, 1,973.26 and 1,100.36 is: 1,649.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316.36 : 1,973.26 = 1,100.36 : x
  2. Step 2: Convert to fraction form
    1,316.36/1,973.26 = 1,100.36/x
  3. Step 3: Cross multiply
    1,316.36x = 1,973.26 × 1,100.36
  4. Step 4: Simplify right side
    1,316.36x = 2,171,296.37
  5. Step 5: Solve for x
    x = 2,171,296.37/1,316.36
  6. Step 6: Final answer
    x = 1,649.47

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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.