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Finding the Fourth Proportional to 2,978.66, 4,468.21 and 787.38

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Solution

The fourth proportional to 2,978.66, 4,468.21 and 787.38 is: 1,181.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,978.66 : 4,468.21 = 787.38 : x
  2. Step 2: Convert to fraction form
    2,978.66/4,468.21 = 787.38/x
  3. Step 3: Cross multiply
    2,978.66x = 4,468.21 × 787.38
  4. Step 4: Simplify right side
    2,978.66x = 3,518,179.19
  5. Step 5: Solve for x
    x = 3,518,179.19/2,978.66
  6. Step 6: Final answer
    x = 1,181.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.