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Finding the Fourth Proportional to 2,668.31, 4,002.80 and 913.65

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Solution

The fourth proportional to 2,668.31, 4,002.80 and 913.65 is: 1,370.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,668.31 : 4,002.80 = 913.65 : x
  2. Step 2: Convert to fraction form
    2,668.31/4,002.80 = 913.65/x
  3. Step 3: Cross multiply
    2,668.31x = 4,002.80 × 913.65
  4. Step 4: Simplify right side
    2,668.31x = 3,657,153.65
  5. Step 5: Solve for x
    x = 3,657,153.65/2,668.31
  6. Step 6: Final answer
    x = 1,370.59

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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.