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Finding the Fourth Proportional to 2,577.96, 3,864.63 and 1,190.58

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Solution

The fourth proportional to 2,577.96, 3,864.63 and 1,190.58 is: 1,784.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,577.96 : 3,864.63 = 1,190.58 : x
  2. Step 2: Convert to fraction form
    2,577.96/3,864.63 = 1,190.58/x
  3. Step 3: Cross multiply
    2,577.96x = 3,864.63 × 1,190.58
  4. Step 4: Simplify right side
    2,577.96x = 4,601,151.19
  5. Step 5: Solve for x
    x = 4,601,151.19/2,577.96
  6. Step 6: Final answer
    x = 1,784.80

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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.