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Finding the Fourth Proportional to 2,416.68, 3,625.98 and 2,412.84

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Solution

The fourth proportional to 2,416.68, 3,625.98 and 2,412.84 is: 3,620.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,416.68 : 3,625.98 = 2,412.84 : x
  2. Step 2: Convert to fraction form
    2,416.68/3,625.98 = 2,412.84/x
  3. Step 3: Cross multiply
    2,416.68x = 3,625.98 × 2,412.84
  4. Step 4: Simplify right side
    2,416.68x = 8,748,909.58
  5. Step 5: Solve for x
    x = 8,748,909.58/2,416.68
  6. Step 6: Final answer
    x = 3,620.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.