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Finding the Fourth Proportional to 3,136.78, 4,705.80 and 1,495.18

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Solution

The fourth proportional to 3,136.78, 4,705.80 and 1,495.18 is: 2,243.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,136.78 : 4,705.80 = 1,495.18 : x
  2. Step 2: Convert to fraction form
    3,136.78/4,705.80 = 1,495.18/x
  3. Step 3: Cross multiply
    3,136.78x = 4,705.80 × 1,495.18
  4. Step 4: Simplify right side
    3,136.78x = 7,036,018.04
  5. Step 5: Solve for x
    x = 7,036,018.04/3,136.78
  6. Step 6: Final answer
    x = 2,243.07

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Why These Related Problems?

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