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Finding the Fourth Proportional to 4,904.81, 7,354.90 and 1,782.62

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Solution

The fourth proportional to 4,904.81, 7,354.90 and 1,782.62 is: 2,673.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,904.81 : 7,354.90 = 1,782.62 : x
  2. Step 2: Convert to fraction form
    4,904.81/7,354.90 = 1,782.62/x
  3. Step 3: Cross multiply
    4,904.81x = 7,354.90 × 1,782.62
  4. Step 4: Simplify right side
    4,904.81x = 13,110,991.84
  5. Step 5: Solve for x
    x = 13,110,991.84/4,904.81
  6. Step 6: Final answer
    x = 2,673.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.