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Finding the Fourth Proportional to 1,395.96, 1,924.56 and 1,002.28

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Solution

The fourth proportional to 1,395.96, 1,924.56 and 1,002.28 is: 1,381.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,395.96 : 1,924.56 = 1,002.28 : x
  2. Step 2: Convert to fraction form
    1,395.96/1,924.56 = 1,002.28/x
  3. Step 3: Cross multiply
    1,395.96x = 1,924.56 × 1,002.28
  4. Step 4: Simplify right side
    1,395.96x = 1,928,948.00
  5. Step 5: Solve for x
    x = 1,928,948.00/1,395.96
  6. Step 6: Final answer
    x = 1,381.81

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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.