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Finding the Fourth Proportional to 2,416.84, 3,334.25 and 1,577.25

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Solution

The fourth proportional to 2,416.84, 3,334.25 and 1,577.25 is: 2,175.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,416.84 : 3,334.25 = 1,577.25 : x
  2. Step 2: Convert to fraction form
    2,416.84/3,334.25 = 1,577.25/x
  3. Step 3: Cross multiply
    2,416.84x = 3,334.25 × 1,577.25
  4. Step 4: Simplify right side
    2,416.84x = 5,258,949.76
  5. Step 5: Solve for x
    x = 5,258,949.76/2,416.84
  6. Step 6: Final answer
    x = 2,175.96

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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.