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Finding the Fourth Proportional to 2,277.42, 3,142.29 and 1,746.84

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Solution

The fourth proportional to 2,277.42, 3,142.29 and 1,746.84 is: 2,410.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,277.42 : 3,142.29 = 1,746.84 : x
  2. Step 2: Convert to fraction form
    2,277.42/3,142.29 = 1,746.84/x
  3. Step 3: Cross multiply
    2,277.42x = 3,142.29 × 1,746.84
  4. Step 4: Simplify right side
    2,277.42x = 5,489,077.86
  5. Step 5: Solve for x
    x = 5,489,077.86/2,277.42
  6. Step 6: Final answer
    x = 2,410.22

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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.