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Finding the Fourth Proportional to 2,416.88, 3,618.12 and 2,004.32

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Solution

The fourth proportional to 2,416.88, 3,618.12 and 2,004.32 is: 3,000.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,416.88 : 3,618.12 = 2,004.32 : x
  2. Step 2: Convert to fraction form
    2,416.88/3,618.12 = 2,004.32/x
  3. Step 3: Cross multiply
    2,416.88x = 3,618.12 × 2,004.32
  4. Step 4: Simplify right side
    2,416.88x = 7,251,870.28
  5. Step 5: Solve for x
    x = 7,251,870.28/2,416.88
  6. Step 6: Final answer
    x = 3,000.51

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1.5x scale

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.