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Finding the Fourth Proportional to 2,783.48, 4,174.20 and 934.65

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Solution

The fourth proportional to 2,783.48, 4,174.20 and 934.65 is: 1,401.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,783.48 : 4,174.20 = 934.65 : x
  2. Step 2: Convert to fraction form
    2,783.48/4,174.20 = 934.65/x
  3. Step 3: Cross multiply
    2,783.48x = 4,174.20 × 934.65
  4. Step 4: Simplify right side
    2,783.48x = 3,901,416.03
  5. Step 5: Solve for x
    x = 3,901,416.03/2,783.48
  6. Step 6: Final answer
    x = 1,401.64

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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.