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Finding the Fourth Proportional to 2,810.78, 3,878.58 and 1,632.09

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Solution

The fourth proportional to 2,810.78, 3,878.58 and 1,632.09 is: 2,252.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,810.78 : 3,878.58 = 1,632.09 : x
  2. Step 2: Convert to fraction form
    2,810.78/3,878.58 = 1,632.09/x
  3. Step 3: Cross multiply
    2,810.78x = 3,878.58 × 1,632.09
  4. Step 4: Simplify right side
    2,810.78x = 6,330,191.63
  5. Step 5: Solve for x
    x = 6,330,191.63/2,810.78
  6. Step 6: Final answer
    x = 2,252.11

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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.