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Finding the Fourth Proportional to 3,136.82, 4,329.02 and 1,810.49

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Solution

The fourth proportional to 3,136.82, 4,329.02 and 1,810.49 is: 2,498.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,136.82 : 4,329.02 = 1,810.49 : x
  2. Step 2: Convert to fraction form
    3,136.82/4,329.02 = 1,810.49/x
  3. Step 3: Cross multiply
    3,136.82x = 4,329.02 × 1,810.49
  4. Step 4: Simplify right side
    3,136.82x = 7,837,649.19
  5. Step 5: Solve for x
    x = 7,837,649.19/3,136.82
  6. Step 6: Final answer
    x = 2,498.60

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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.