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Finding the Fourth Proportional to 3,095.96, 4,644 and 787.46

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Solution

The fourth proportional to 3,095.96, 4,644 and 787.46 is: 1,181.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,095.96 : 4,644 = 787.46 : x
  2. Step 2: Convert to fraction form
    3,095.96/4,644 = 787.46/x
  3. Step 3: Cross multiply
    3,095.96x = 4,644 × 787.46
  4. Step 4: Simplify right side
    3,095.96x = 3,656,941.02
  5. Step 5: Solve for x
    x = 3,656,941.02/3,095.96
  6. Step 6: Final answer
    x = 1,181.20

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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.