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Finding the Fourth Proportional to 1,400.10, 2,096.10 and 1,359.60

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Solution

The fourth proportional to 1,400.10, 2,096.10 and 1,359.60 is: 2,035.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,400.10 : 2,096.10 = 1,359.60 : x
  2. Step 2: Convert to fraction form
    1,400.10/2,096.10 = 1,359.60/x
  3. Step 3: Cross multiply
    1,400.10x = 2,096.10 × 1,359.60
  4. Step 4: Simplify right side
    1,400.10x = 2,849,857.56
  5. Step 5: Solve for x
    x = 2,849,857.56/1,400.10
  6. Step 6: Final answer
    x = 2,035.47

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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.