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Finding the Fourth Proportional to 4,562.81, 6,842.80 and 1,930.26

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Solution

The fourth proportional to 4,562.81, 6,842.80 and 1,930.26 is: 2,894.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,562.81 : 6,842.80 = 1,930.26 : x
  2. Step 2: Convert to fraction form
    4,562.81/6,842.80 = 1,930.26/x
  3. Step 3: Cross multiply
    4,562.81x = 6,842.80 × 1,930.26
  4. Step 4: Simplify right side
    4,562.81x = 13,208,400.34
  5. Step 5: Solve for x
    x = 13,208,400.34/4,562.81
  6. Step 6: Final answer
    x = 2,894.80

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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.