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Finding the Fourth Proportional to 2,787.82, 4,180.11 and 1,055.50

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Solution

The fourth proportional to 2,787.82, 4,180.11 and 1,055.50 is: 1,582.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,787.82 : 4,180.11 = 1,055.50 : x
  2. Step 2: Convert to fraction form
    2,787.82/4,180.11 = 1,055.50/x
  3. Step 3: Cross multiply
    2,787.82x = 4,180.11 × 1,055.50
  4. Step 4: Simplify right side
    2,787.82x = 4,412,106.11
  5. Step 5: Solve for x
    x = 4,412,106.11/2,787.82
  6. Step 6: Final answer
    x = 1,582.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.