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Finding the Fourth Proportional to 1,402.10, 2,102.90 and 401.37

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Solution

The fourth proportional to 1,402.10, 2,102.90 and 401.37 is: 601.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.10 : 2,102.90 = 401.37 : x
  2. Step 2: Convert to fraction form
    1,402.10/2,102.90 = 401.37/x
  3. Step 3: Cross multiply
    1,402.10x = 2,102.90 × 401.37
  4. Step 4: Simplify right side
    1,402.10x = 844,041.98
  5. Step 5: Solve for x
    x = 844,041.98/1,402.10
  6. Step 6: Final answer
    x = 601.99

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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.