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Finding the Fourth Proportional to 3,136.56, 4,329.54 and 1,810.80

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Solution

The fourth proportional to 3,136.56, 4,329.54 and 1,810.80 is: 2,499.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,136.56 : 4,329.54 = 1,810.80 : x
  2. Step 2: Convert to fraction form
    3,136.56/4,329.54 = 1,810.80/x
  3. Step 3: Cross multiply
    3,136.56x = 4,329.54 × 1,810.80
  4. Step 4: Simplify right side
    3,136.56x = 7,839,931.03
  5. Step 5: Solve for x
    x = 7,839,931.03/3,136.56
  6. Step 6: Final answer
    x = 2,499.53

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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.