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Finding the Fourth Proportional to 2,465.89, 3,402.14 and 1,757.86

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Solution

The fourth proportional to 2,465.89, 3,402.14 and 1,757.86 is: 2,425.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,465.89 : 3,402.14 = 1,757.86 : x
  2. Step 2: Convert to fraction form
    2,465.89/3,402.14 = 1,757.86/x
  3. Step 3: Cross multiply
    2,465.89x = 3,402.14 × 1,757.86
  4. Step 4: Simplify right side
    2,465.89x = 5,980,468.53
  5. Step 5: Solve for x
    x = 5,980,468.53/2,465.89
  6. Step 6: Final answer
    x = 2,425.28

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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.