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Finding the Fourth Proportional to 1,395.98, 1,926.06 and 1,100.33

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Solution

The fourth proportional to 1,395.98, 1,926.06 and 1,100.33 is: 1,518.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,395.98 : 1,926.06 = 1,100.33 : x
  2. Step 2: Convert to fraction form
    1,395.98/1,926.06 = 1,100.33/x
  3. Step 3: Cross multiply
    1,395.98x = 1,926.06 × 1,100.33
  4. Step 4: Simplify right side
    1,395.98x = 2,119,295.07
  5. Step 5: Solve for x
    x = 2,119,295.07/1,395.98
  6. Step 6: Final answer
    x = 1,518.14

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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.