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Finding the Fourth Proportional to 2,978.72, 4,465.17 and 1,418.30

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Solution

The fourth proportional to 2,978.72, 4,465.17 and 1,418.30 is: 2,126.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,978.72 : 4,465.17 = 1,418.30 : x
  2. Step 2: Convert to fraction form
    2,978.72/4,465.17 = 1,418.30/x
  3. Step 3: Cross multiply
    2,978.72x = 4,465.17 × 1,418.30
  4. Step 4: Simplify right side
    2,978.72x = 6,332,970.50
  5. Step 5: Solve for x
    x = 6,332,970.50/2,978.72
  6. Step 6: Final answer
    x = 2,126.07

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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.