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Finding the Fourth Proportional to 2,090.66, 3,136.54 and 1,116.50

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Solution

The fourth proportional to 2,090.66, 3,136.54 and 1,116.50 is: 1,675.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,090.66 : 3,136.54 = 1,116.50 : x
  2. Step 2: Convert to fraction form
    2,090.66/3,136.54 = 1,116.50/x
  3. Step 3: Cross multiply
    2,090.66x = 3,136.54 × 1,116.50
  4. Step 4: Simplify right side
    2,090.66x = 3,501,946.91
  5. Step 5: Solve for x
    x = 3,501,946.91/2,090.66
  6. Step 6: Final answer
    x = 1,675.04

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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.