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Finding the Fourth Proportional to 3,136.52, 4,328.78 and 1,810.55

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Solution

The fourth proportional to 3,136.52, 4,328.78 and 1,810.55 is: 2,498.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,136.52 : 4,328.78 = 1,810.55 : x
  2. Step 2: Convert to fraction form
    3,136.52/4,328.78 = 1,810.55/x
  3. Step 3: Cross multiply
    3,136.52x = 4,328.78 × 1,810.55
  4. Step 4: Simplify right side
    3,136.52x = 7,837,474.40
  5. Step 5: Solve for x
    x = 7,837,474.40/3,136.52
  6. Step 6: Final answer
    x = 2,498.78

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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.