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Finding the Fourth Proportional to 1,671.73, 2,306.35 and 1,288.57

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Solution

The fourth proportional to 1,671.73, 2,306.35 and 1,288.57 is: 1,777.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,671.73 : 2,306.35 = 1,288.57 : x
  2. Step 2: Convert to fraction form
    1,671.73/2,306.35 = 1,288.57/x
  3. Step 3: Cross multiply
    1,671.73x = 2,306.35 × 1,288.57
  4. Step 4: Simplify right side
    1,671.73x = 2,971,886.98
  5. Step 5: Solve for x
    x = 2,971,886.98/1,671.73
  6. Step 6: Final answer
    x = 1,777.74

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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.