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Finding the Fourth Proportional to 2,076.46, 3,119.55 and 1,784.86

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Solution

The fourth proportional to 2,076.46, 3,119.55 and 1,784.86 is: 2,681.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,076.46 : 3,119.55 = 1,784.86 : x
  2. Step 2: Convert to fraction form
    2,076.46/3,119.55 = 1,784.86/x
  3. Step 3: Cross multiply
    2,076.46x = 3,119.55 × 1,784.86
  4. Step 4: Simplify right side
    2,076.46x = 5,567,935.49
  5. Step 5: Solve for x
    x = 5,567,935.49/2,076.46
  6. Step 6: Final answer
    x = 2,681.46

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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.