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Finding the Fourth Proportional to 2,543.45, 3,809.97 and 1,887.35

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Solution

The fourth proportional to 2,543.45, 3,809.97 and 1,887.35 is: 2,827.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,543.45 : 3,809.97 = 1,887.35 : x
  2. Step 2: Convert to fraction form
    2,543.45/3,809.97 = 1,887.35/x
  3. Step 3: Cross multiply
    2,543.45x = 3,809.97 × 1,887.35
  4. Step 4: Simplify right side
    2,543.45x = 7,190,727.83
  5. Step 5: Solve for x
    x = 7,190,727.83/2,543.45
  6. Step 6: Final answer
    x = 2,827.16

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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.