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Finding the Fourth Proportional to 2,389.44, 3,582.54 and 1,218

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Solution

The fourth proportional to 2,389.44, 3,582.54 and 1,218 is: 1,826.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,389.44 : 3,582.54 = 1,218 : x
  2. Step 2: Convert to fraction form
    2,389.44/3,582.54 = 1,218/x
  3. Step 3: Cross multiply
    2,389.44x = 3,582.54 × 1,218
  4. Step 4: Simplify right side
    2,389.44x = 4,363,533.72
  5. Step 5: Solve for x
    x = 4,363,533.72/2,389.44
  6. Step 6: Final answer
    x = 1,826.17

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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.