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Finding the Fourth Proportional to 2,718.90, 4,078.36 and 666.90

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Solution

The fourth proportional to 2,718.90, 4,078.36 and 666.90 is: 1,000.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,718.90 : 4,078.36 = 666.90 : x
  2. Step 2: Convert to fraction form
    2,718.90/4,078.36 = 666.90/x
  3. Step 3: Cross multiply
    2,718.90x = 4,078.36 × 666.90
  4. Step 4: Simplify right side
    2,718.90x = 2,719,858.28
  5. Step 5: Solve for x
    x = 2,719,858.28/2,718.90
  6. Step 6: Final answer
    x = 1,000.35

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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.