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Finding the Fourth Proportional to 2,290.86, 3,164.00 and 1,543.52

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Solution

The fourth proportional to 2,290.86, 3,164.00 and 1,543.52 is: 2,131.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,290.86 : 3,164.00 = 1,543.52 : x
  2. Step 2: Convert to fraction form
    2,290.86/3,164.00 = 1,543.52/x
  3. Step 3: Cross multiply
    2,290.86x = 3,164.00 × 1,543.52
  4. Step 4: Simplify right side
    2,290.86x = 4,883,697.47
  5. Step 5: Solve for x
    x = 4,883,697.47/2,290.86
  6. Step 6: Final answer
    x = 2,131.82

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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.