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Finding the Fourth Proportional to 2,074.88, 3,111.04 and 977.92

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Solution

The fourth proportional to 2,074.88, 3,111.04 and 977.92 is: 1,466.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074.88 : 3,111.04 = 977.92 : x
  2. Step 2: Convert to fraction form
    2,074.88/3,111.04 = 977.92/x
  3. Step 3: Cross multiply
    2,074.88x = 3,111.04 × 977.92
  4. Step 4: Simplify right side
    2,074.88x = 3,042,348.24
  5. Step 5: Solve for x
    x = 3,042,348.24/2,074.88
  6. Step 6: Final answer
    x = 1,466.28

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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.