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Finding the Fourth Proportional to 2,572.21, 3,857.70 and 1,184.68

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Solution

The fourth proportional to 2,572.21, 3,857.70 and 1,184.68 is: 1,776.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,572.21 : 3,857.70 = 1,184.68 : x
  2. Step 2: Convert to fraction form
    2,572.21/3,857.70 = 1,184.68/x
  3. Step 3: Cross multiply
    2,572.21x = 3,857.70 × 1,184.68
  4. Step 4: Simplify right side
    2,572.21x = 4,570,140.04
  5. Step 5: Solve for x
    x = 4,570,140.04/2,572.21
  6. Step 6: Final answer
    x = 1,776.74

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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.