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Finding the Fourth Proportional to 1,783.89, 2,459.76 and 1,451.70

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Solution

The fourth proportional to 1,783.89, 2,459.76 and 1,451.70 is: 2,001.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,783.89 : 2,459.76 = 1,451.70 : x
  2. Step 2: Convert to fraction form
    1,783.89/2,459.76 = 1,451.70/x
  3. Step 3: Cross multiply
    1,783.89x = 2,459.76 × 1,451.70
  4. Step 4: Simplify right side
    1,783.89x = 3,570,833.59
  5. Step 5: Solve for x
    x = 3,570,833.59/1,783.89
  6. Step 6: Final answer
    x = 2,001.71

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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.