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Finding the Fourth Proportional to 2,102.90, 3,136.35 and 2,059.70

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Solution

The fourth proportional to 2,102.90, 3,136.35 and 2,059.70 is: 3,071.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.90 : 3,136.35 = 2,059.70 : x
  2. Step 2: Convert to fraction form
    2,102.90/3,136.35 = 2,059.70/x
  3. Step 3: Cross multiply
    2,102.90x = 3,136.35 × 2,059.70
  4. Step 4: Simplify right side
    2,102.90x = 6,459,929.80
  5. Step 5: Solve for x
    x = 6,459,929.80/2,102.90
  6. Step 6: Final answer
    x = 3,071.91

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.