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Finding the Fourth Proportional to 2,577.63, 3,863.02 and 2,284.45

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Solution

The fourth proportional to 2,577.63, 3,863.02 and 2,284.45 is: 3,423.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,577.63 : 3,863.02 = 2,284.45 : x
  2. Step 2: Convert to fraction form
    2,577.63/3,863.02 = 2,284.45/x
  3. Step 3: Cross multiply
    2,577.63x = 3,863.02 × 2,284.45
  4. Step 4: Simplify right side
    2,577.63x = 8,824,860.67
  5. Step 5: Solve for x
    x = 8,824,860.67/2,577.63
  6. Step 6: Final answer
    x = 3,423.63

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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.