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Finding the Fourth Proportional to 2,646.41, 3,966.63 and 1,257.82

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Solution

The fourth proportional to 2,646.41, 3,966.63 and 1,257.82 is: 1,885.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,646.41 : 3,966.63 = 1,257.82 : x
  2. Step 2: Convert to fraction form
    2,646.41/3,966.63 = 1,257.82/x
  3. Step 3: Cross multiply
    2,646.41x = 3,966.63 × 1,257.82
  4. Step 4: Simplify right side
    2,646.41x = 4,989,306.55
  5. Step 5: Solve for x
    x = 4,989,306.55/2,646.41
  6. Step 6: Final answer
    x = 1,885.31

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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.