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Finding the Fourth Proportional to 2,602.90, 3,591.96 and 1,594.45

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Solution

The fourth proportional to 2,602.90, 3,591.96 and 1,594.45 is: 2,200.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,602.90 : 3,591.96 = 1,594.45 : x
  2. Step 2: Convert to fraction form
    2,602.90/3,591.96 = 1,594.45/x
  3. Step 3: Cross multiply
    2,602.90x = 3,591.96 × 1,594.45
  4. Step 4: Simplify right side
    2,602.90x = 5,727,196.64
  5. Step 5: Solve for x
    x = 5,727,196.64/2,602.90
  6. Step 6: Final answer
    x = 2,200.31

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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.