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Finding the Fourth Proportional to 2,783.97, 4,176.63 and 1,141.70

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Solution

The fourth proportional to 2,783.97, 4,176.63 and 1,141.70 is: 1,712.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,783.97 : 4,176.63 = 1,141.70 : x
  2. Step 2: Convert to fraction form
    2,783.97/4,176.63 = 1,141.70/x
  3. Step 3: Cross multiply
    2,783.97x = 4,176.63 × 1,141.70
  4. Step 4: Simplify right side
    2,783.97x = 4,768,437.59
  5. Step 5: Solve for x
    x = 4,768,437.59/2,783.97
  6. Step 6: Final answer
    x = 1,712.82

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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.