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Finding the Fourth Proportional to 2,978.83, 4,468.28 and 1,418.99

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Solution

The fourth proportional to 2,978.83, 4,468.28 and 1,418.99 is: 2,128.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,978.83 : 4,468.28 = 1,418.99 : x
  2. Step 2: Convert to fraction form
    2,978.83/4,468.28 = 1,418.99/x
  3. Step 3: Cross multiply
    2,978.83x = 4,468.28 × 1,418.99
  4. Step 4: Simplify right side
    2,978.83x = 6,340,444.64
  5. Step 5: Solve for x
    x = 6,340,444.64/2,978.83
  6. Step 6: Final answer
    x = 2,128.50

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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.