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Finding the Fourth Proportional to 1,543.29, 2,129.60 and 879.98

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Solution

The fourth proportional to 1,543.29, 2,129.60 and 879.98 is: 1,214.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,543.29 : 2,129.60 = 879.98 : x
  2. Step 2: Convert to fraction form
    1,543.29/2,129.60 = 879.98/x
  3. Step 3: Cross multiply
    1,543.29x = 2,129.60 × 879.98
  4. Step 4: Simplify right side
    1,543.29x = 1,874,005.41
  5. Step 5: Solve for x
    x = 1,874,005.41/1,543.29
  6. Step 6: Final answer
    x = 1,214.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.