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Finding the Fourth Proportional to 2,537.98, 3,503.49 and 1,543.58

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Solution

The fourth proportional to 2,537.98, 3,503.49 and 1,543.58 is: 2,130.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,537.98 : 3,503.49 = 1,543.58 : x
  2. Step 2: Convert to fraction form
    2,537.98/3,503.49 = 1,543.58/x
  3. Step 3: Cross multiply
    2,537.98x = 3,503.49 × 1,543.58
  4. Step 4: Simplify right side
    2,537.98x = 5,407,917.09
  5. Step 5: Solve for x
    x = 5,407,917.09/2,537.98
  6. Step 6: Final answer
    x = 2,130.80

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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.