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Finding the Fourth Proportional to 1,836.47, 2,534.63 and 1,205.89

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Solution

The fourth proportional to 1,836.47, 2,534.63 and 1,205.89 is: 1,664.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,836.47 : 2,534.63 = 1,205.89 : x
  2. Step 2: Convert to fraction form
    1,836.47/2,534.63 = 1,205.89/x
  3. Step 3: Cross multiply
    1,836.47x = 2,534.63 × 1,205.89
  4. Step 4: Simplify right side
    1,836.47x = 3,056,472.60
  5. Step 5: Solve for x
    x = 3,056,472.60/1,836.47
  6. Step 6: Final answer
    x = 1,664.32

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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.