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Finding the Fourth Proportional to 1,402.44, 2,103.66 and 376.44

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Solution

The fourth proportional to 1,402.44, 2,103.66 and 376.44 is: 564.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.44 : 2,103.66 = 376.44 : x
  2. Step 2: Convert to fraction form
    1,402.44/2,103.66 = 376.44/x
  3. Step 3: Cross multiply
    1,402.44x = 2,103.66 × 376.44
  4. Step 4: Simplify right side
    1,402.44x = 791,901.77
  5. Step 5: Solve for x
    x = 791,901.77/1,402.44
  6. Step 6: Final answer
    x = 564.66

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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.