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Finding the Fourth Proportional to 1,395.23, 1,924.43 and 922.86

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Solution

The fourth proportional to 1,395.23, 1,924.43 and 922.86 is: 1,272.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,395.23 : 1,924.43 = 922.86 : x
  2. Step 2: Convert to fraction form
    1,395.23/1,924.43 = 922.86/x
  3. Step 3: Cross multiply
    1,395.23x = 1,924.43 × 922.86
  4. Step 4: Simplify right side
    1,395.23x = 1,775,974.86
  5. Step 5: Solve for x
    x = 1,775,974.86/1,395.23
  6. Step 6: Final answer
    x = 1,272.89

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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.