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Finding the Fourth Proportional to 1,977.60, 2,966.72 and 881.94

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Solution

The fourth proportional to 1,977.60, 2,966.72 and 881.94 is: 1,323.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,977.60 : 2,966.72 = 881.94 : x
  2. Step 2: Convert to fraction form
    1,977.60/2,966.72 = 881.94/x
  3. Step 3: Cross multiply
    1,977.60x = 2,966.72 × 881.94
  4. Step 4: Simplify right side
    1,977.60x = 2,616,469.04
  5. Step 5: Solve for x
    x = 2,616,469.04/1,977.60
  6. Step 6: Final answer
    x = 1,323.05

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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.