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Finding the Fourth Proportional to 1,843.02, 2,540.88 and 1,785.69

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Solution

The fourth proportional to 1,843.02, 2,540.88 and 1,785.69 is: 2,461.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,843.02 : 2,540.88 = 1,785.69 : x
  2. Step 2: Convert to fraction form
    1,843.02/2,540.88 = 1,785.69/x
  3. Step 3: Cross multiply
    1,843.02x = 2,540.88 × 1,785.69
  4. Step 4: Simplify right side
    1,843.02x = 4,537,224.01
  5. Step 5: Solve for x
    x = 4,537,224.01/1,843.02
  6. Step 6: Final answer
    x = 2,461.84

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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.