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Finding the Fourth Proportional to 2,756.26, 4,125.17 and 2,262.65

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Solution

The fourth proportional to 2,756.26, 4,125.17 and 2,262.65 is: 3,386.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,756.26 : 4,125.17 = 2,262.65 : x
  2. Step 2: Convert to fraction form
    2,756.26/4,125.17 = 2,262.65/x
  3. Step 3: Cross multiply
    2,756.26x = 4,125.17 × 2,262.65
  4. Step 4: Simplify right side
    2,756.26x = 9,333,804.59
  5. Step 5: Solve for x
    x = 9,333,804.59/2,756.26
  6. Step 6: Final answer
    x = 3,386.40

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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.