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Finding the Fourth Proportional to 2,810.10, 3,878 and 1,631.08

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Solution

The fourth proportional to 2,810.10, 3,878 and 1,631.08 is: 2,250.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,810.10 : 3,878 = 1,631.08 : x
  2. Step 2: Convert to fraction form
    2,810.10/3,878 = 1,631.08/x
  3. Step 3: Cross multiply
    2,810.10x = 3,878 × 1,631.08
  4. Step 4: Simplify right side
    2,810.10x = 6,325,328.24
  5. Step 5: Solve for x
    x = 6,325,328.24/2,810.10
  6. Step 6: Final answer
    x = 2,250.93

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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.