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Finding the Fourth Proportional to 1,402.54, 2,100.86 and 671.38

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Solution

The fourth proportional to 1,402.54, 2,100.86 and 671.38 is: 1,005.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.54 : 2,100.86 = 671.38 : x
  2. Step 2: Convert to fraction form
    1,402.54/2,100.86 = 671.38/x
  3. Step 3: Cross multiply
    1,402.54x = 2,100.86 × 671.38
  4. Step 4: Simplify right side
    1,402.54x = 1,410,472.03
  5. Step 5: Solve for x
    x = 1,410,472.03/1,402.54
  6. Step 6: Final answer
    x = 1,005.66

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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.