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Finding the Fourth Proportional to 2,389.20, 3,583.74 and 928.36

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Solution

The fourth proportional to 2,389.20, 3,583.74 and 928.36 is: 1,392.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,389.20 : 3,583.74 = 928.36 : x
  2. Step 2: Convert to fraction form
    2,389.20/3,583.74 = 928.36/x
  3. Step 3: Cross multiply
    2,389.20x = 3,583.74 × 928.36
  4. Step 4: Simplify right side
    2,389.20x = 3,327,008.83
  5. Step 5: Solve for x
    x = 3,327,008.83/2,389.20
  6. Step 6: Final answer
    x = 1,392.52

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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.