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Finding the Fourth Proportional to 2,807.69, 4,212.27 and 2,501.69

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Solution

The fourth proportional to 2,807.69, 4,212.27 and 2,501.69 is: 3,753.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,807.69 : 4,212.27 = 2,501.69 : x
  2. Step 2: Convert to fraction form
    2,807.69/4,212.27 = 2,501.69/x
  3. Step 3: Cross multiply
    2,807.69x = 4,212.27 × 2,501.69
  4. Step 4: Simplify right side
    2,807.69x = 10,537,772.67
  5. Step 5: Solve for x
    x = 10,537,772.67/2,807.69
  6. Step 6: Final answer
    x = 3,753.19

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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.