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Finding the Fourth Proportional to 3,136.09, 4,702.00 and 1,492.80

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Solution

The fourth proportional to 3,136.09, 4,702.00 and 1,492.80 is: 2,238.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,136.09 : 4,702.00 = 1,492.80 : x
  2. Step 2: Convert to fraction form
    3,136.09/4,702.00 = 1,492.80/x
  3. Step 3: Cross multiply
    3,136.09x = 4,702.00 × 1,492.80
  4. Step 4: Simplify right side
    3,136.09x = 7,019,166.71
  5. Step 5: Solve for x
    x = 7,019,166.71/3,136.09
  6. Step 6: Final answer
    x = 2,238.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.