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Finding the Fourth Proportional to 2,416.61, 3,322.08 and 2,079.28

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Solution

The fourth proportional to 2,416.61, 3,322.08 and 2,079.28 is: 2,858.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,416.61 : 3,322.08 = 2,079.28 : x
  2. Step 2: Convert to fraction form
    2,416.61/3,322.08 = 2,079.28/x
  3. Step 3: Cross multiply
    2,416.61x = 3,322.08 × 2,079.28
  4. Step 4: Simplify right side
    2,416.61x = 6,907,534.50
  5. Step 5: Solve for x
    x = 6,907,534.50/2,416.61
  6. Step 6: Final answer
    x = 2,858.36

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.