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Finding the Fourth Proportional to 2,966.50, 4,450.51 and 1,117.63

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Solution

The fourth proportional to 2,966.50, 4,450.51 and 1,117.63 is: 1,676.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,966.50 : 4,450.51 = 1,117.63 : x
  2. Step 2: Convert to fraction form
    2,966.50/4,450.51 = 1,117.63/x
  3. Step 3: Cross multiply
    2,966.50x = 4,450.51 × 1,117.63
  4. Step 4: Simplify right side
    2,966.50x = 4,974,023.49
  5. Step 5: Solve for x
    x = 4,974,023.49/2,966.50
  6. Step 6: Final answer
    x = 1,676.73

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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.