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Finding the Fourth Proportional to 2,842.85, 4,256.75 and 2,223.65

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Solution

The fourth proportional to 2,842.85, 4,256.75 and 2,223.65 is: 3,329.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842.85 : 4,256.75 = 2,223.65 : x
  2. Step 2: Convert to fraction form
    2,842.85/4,256.75 = 2,223.65/x
  3. Step 3: Cross multiply
    2,842.85x = 4,256.75 × 2,223.65
  4. Step 4: Simplify right side
    2,842.85x = 9,465,538.34
  5. Step 5: Solve for x
    x = 9,465,538.34/2,842.85
  6. Step 6: Final answer
    x = 3,329.60

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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.