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Finding the Fourth Proportional to 2,531.69, 3,785.06 and 2,146.01

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Solution

The fourth proportional to 2,531.69, 3,785.06 and 2,146.01 is: 3,208.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,531.69 : 3,785.06 = 2,146.01 : x
  2. Step 2: Convert to fraction form
    2,531.69/3,785.06 = 2,146.01/x
  3. Step 3: Cross multiply
    2,531.69x = 3,785.06 × 2,146.01
  4. Step 4: Simplify right side
    2,531.69x = 8,122,784.34
  5. Step 5: Solve for x
    x = 8,122,784.34/2,531.69
  6. Step 6: Final answer
    x = 3,208.44

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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.