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Finding the Fourth Proportional to 2,106.79, 2,907.72 and 1,608.49

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Solution

The fourth proportional to 2,106.79, 2,907.72 and 1,608.49 is: 2,219.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.79 : 2,907.72 = 1,608.49 : x
  2. Step 2: Convert to fraction form
    2,106.79/2,907.72 = 1,608.49/x
  3. Step 3: Cross multiply
    2,106.79x = 2,907.72 × 1,608.49
  4. Step 4: Simplify right side
    2,106.79x = 4,677,038.54
  5. Step 5: Solve for x
    x = 4,677,038.54/2,106.79
  6. Step 6: Final answer
    x = 2,219.98

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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.