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Finding the Fourth Proportional to 1,846.59, 2,543.34 and 1,597.92

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Solution

The fourth proportional to 1,846.59, 2,543.34 and 1,597.92 is: 2,200.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,846.59 : 2,543.34 = 1,597.92 : x
  2. Step 2: Convert to fraction form
    1,846.59/2,543.34 = 1,597.92/x
  3. Step 3: Cross multiply
    1,846.59x = 2,543.34 × 1,597.92
  4. Step 4: Simplify right side
    1,846.59x = 4,064,053.85
  5. Step 5: Solve for x
    x = 4,064,053.85/1,846.59
  6. Step 6: Final answer
    x = 2,200.84

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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.