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Finding the Fourth Proportional to 1,892.86, 2,615.75 and 1,419.93

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Solution

The fourth proportional to 1,892.86, 2,615.75 and 1,419.93 is: 1,962.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,892.86 : 2,615.75 = 1,419.93 : x
  2. Step 2: Convert to fraction form
    1,892.86/2,615.75 = 1,419.93/x
  3. Step 3: Cross multiply
    1,892.86x = 2,615.75 × 1,419.93
  4. Step 4: Simplify right side
    1,892.86x = 3,714,181.90
  5. Step 5: Solve for x
    x = 3,714,181.90/1,892.86
  6. Step 6: Final answer
    x = 1,962.21

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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.