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Finding the Fourth Proportional to 3,190.47, 4,781.44 and 1,543.74

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Solution

The fourth proportional to 3,190.47, 4,781.44 and 1,543.74 is: 2,313.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,190.47 : 4,781.44 = 1,543.74 : x
  2. Step 2: Convert to fraction form
    3,190.47/4,781.44 = 1,543.74/x
  3. Step 3: Cross multiply
    3,190.47x = 4,781.44 × 1,543.74
  4. Step 4: Simplify right side
    3,190.47x = 7,381,300.19
  5. Step 5: Solve for x
    x = 7,381,300.19/3,190.47
  6. Step 6: Final answer
    x = 2,313.55

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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.