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Finding the Fourth Proportional to 3,136.69, 4,328.32 and 1,810.82

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Solution

The fourth proportional to 3,136.69, 4,328.32 and 1,810.82 is: 2,498.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,136.69 : 4,328.32 = 1,810.82 : x
  2. Step 2: Convert to fraction form
    3,136.69/4,328.32 = 1,810.82/x
  3. Step 3: Cross multiply
    3,136.69x = 4,328.32 × 1,810.82
  4. Step 4: Simplify right side
    3,136.69x = 7,837,819.24
  5. Step 5: Solve for x
    x = 7,837,819.24/3,136.69
  6. Step 6: Final answer
    x = 2,498.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.