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Finding the Fourth Proportional to 2,810.64, 4,209.40 and 2,498.04

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Solution

The fourth proportional to 2,810.64, 4,209.40 and 2,498.04 is: 3,741.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,810.64 : 4,209.40 = 2,498.04 : x
  2. Step 2: Convert to fraction form
    2,810.64/4,209.40 = 2,498.04/x
  3. Step 3: Cross multiply
    2,810.64x = 4,209.40 × 2,498.04
  4. Step 4: Simplify right side
    2,810.64x = 10,515,249.58
  5. Step 5: Solve for x
    x = 10,515,249.58/2,810.64
  6. Step 6: Final answer
    x = 3,741.23

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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.