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Finding the Fourth Proportional to 1,400.09, 2,100.40 and 475.41

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Solution

The fourth proportional to 1,400.09, 2,100.40 and 475.41 is: 713.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,400.09 : 2,100.40 = 475.41 : x
  2. Step 2: Convert to fraction form
    1,400.09/2,100.40 = 475.41/x
  3. Step 3: Cross multiply
    1,400.09x = 2,100.40 × 475.41
  4. Step 4: Simplify right side
    1,400.09x = 998,551.16
  5. Step 5: Solve for x
    x = 998,551.16/1,400.09
  6. Step 6: Final answer
    x = 713.20

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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.