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Finding the Fourth Proportional to 2,783.20, 4,174.80 and 2,345.80

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Solution

The fourth proportional to 2,783.20, 4,174.80 and 2,345.80 is: 3,518.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,783.20 : 4,174.80 = 2,345.80 : x
  2. Step 2: Convert to fraction form
    2,783.20/4,174.80 = 2,345.80/x
  3. Step 3: Cross multiply
    2,783.20x = 4,174.80 × 2,345.80
  4. Step 4: Simplify right side
    2,783.20x = 9,793,245.84
  5. Step 5: Solve for x
    x = 9,793,245.84/2,783.20
  6. Step 6: Final answer
    x = 3,518.70

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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.