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Finding the Fourth Proportional to 2,020.59, 3,029.27 and 787.77

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Solution

The fourth proportional to 2,020.59, 3,029.27 and 787.77 is: 1,181.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,020.59 : 3,029.27 = 787.77 : x
  2. Step 2: Convert to fraction form
    2,020.59/3,029.27 = 787.77/x
  3. Step 3: Cross multiply
    2,020.59x = 3,029.27 × 787.77
  4. Step 4: Simplify right side
    2,020.59x = 2,386,364.09
  5. Step 5: Solve for x
    x = 2,386,364.09/2,020.59
  6. Step 6: Final answer
    x = 1,181.02

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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.