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Finding the Fourth Proportional to 2,416.64, 3,335.88 and 1,421.96

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Solution

The fourth proportional to 2,416.64, 3,335.88 and 1,421.96 is: 1,962.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,416.64 : 3,335.88 = 1,421.96 : x
  2. Step 2: Convert to fraction form
    2,416.64/3,335.88 = 1,421.96/x
  3. Step 3: Cross multiply
    2,416.64x = 3,335.88 × 1,421.96
  4. Step 4: Simplify right side
    2,416.64x = 4,743,476.58
  5. Step 5: Solve for x
    x = 4,743,476.58/2,416.64
  6. Step 6: Final answer
    x = 1,962.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.