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Finding the Fourth Proportional to 3,136.98, 4,328.46 and 1,810.20

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Solution

The fourth proportional to 3,136.98, 4,328.46 and 1,810.20 is: 2,497.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,136.98 : 4,328.46 = 1,810.20 : x
  2. Step 2: Convert to fraction form
    3,136.98/4,328.46 = 1,810.20/x
  3. Step 3: Cross multiply
    3,136.98x = 4,328.46 × 1,810.20
  4. Step 4: Simplify right side
    3,136.98x = 7,835,378.29
  5. Step 5: Solve for x
    x = 7,835,378.29/3,136.98
  6. Step 6: Final answer
    x = 2,497.75

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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.