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Finding the Fourth Proportional to 2,050.80, 3,077.04 and 1,077.76

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Solution

The fourth proportional to 2,050.80, 3,077.04 and 1,077.76 is: 1,617.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,050.80 : 3,077.04 = 1,077.76 : x
  2. Step 2: Convert to fraction form
    2,050.80/3,077.04 = 1,077.76/x
  3. Step 3: Cross multiply
    2,050.80x = 3,077.04 × 1,077.76
  4. Step 4: Simplify right side
    2,050.80x = 3,316,310.63
  5. Step 5: Solve for x
    x = 3,316,310.63/2,050.80
  6. Step 6: Final answer
    x = 1,617.08

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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.