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Finding the Fourth Proportional to 1,977.72, 2,966.79 and 882.00

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Solution

The fourth proportional to 1,977.72, 2,966.79 and 882.00 is: 1,323.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,977.72 : 2,966.79 = 882.00 : x
  2. Step 2: Convert to fraction form
    1,977.72/2,966.79 = 882.00/x
  3. Step 3: Cross multiply
    1,977.72x = 2,966.79 × 882.00
  4. Step 4: Simplify right side
    1,977.72x = 2,616,689.54
  5. Step 5: Solve for x
    x = 2,616,689.54/1,977.72
  6. Step 6: Final answer
    x = 1,323.08

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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.