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Finding the Fourth Proportional to 1,395.42, 1,924.61 and 1,022.26

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Solution

The fourth proportional to 1,395.42, 1,924.61 and 1,022.26 is: 1,409.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,395.42 : 1,924.61 = 1,022.26 : x
  2. Step 2: Convert to fraction form
    1,395.42/1,924.61 = 1,022.26/x
  3. Step 3: Cross multiply
    1,395.42x = 1,924.61 × 1,022.26
  4. Step 4: Simplify right side
    1,395.42x = 1,967,446.71
  5. Step 5: Solve for x
    x = 1,967,446.71/1,395.42
  6. Step 6: Final answer
    x = 1,409.94

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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.