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Finding the Fourth Proportional to 2,606.63, 3,596.08 and 1,543.60

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Solution

The fourth proportional to 2,606.63, 3,596.08 and 1,543.60 is: 2,129.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,606.63 : 3,596.08 = 1,543.60 : x
  2. Step 2: Convert to fraction form
    2,606.63/3,596.08 = 1,543.60/x
  3. Step 3: Cross multiply
    2,606.63x = 3,596.08 × 1,543.60
  4. Step 4: Simplify right side
    2,606.63x = 5,550,909.09
  5. Step 5: Solve for x
    x = 5,550,909.09/2,606.63
  6. Step 6: Final answer
    x = 2,129.54

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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.