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Finding the Fourth Proportional to 1,594.60, 2,203.56 and 1,200.94

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Solution

The fourth proportional to 1,594.60, 2,203.56 and 1,200.94 is: 1,659.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,594.60 : 2,203.56 = 1,200.94 : x
  2. Step 2: Convert to fraction form
    1,594.60/2,203.56 = 1,200.94/x
  3. Step 3: Cross multiply
    1,594.60x = 2,203.56 × 1,200.94
  4. Step 4: Simplify right side
    1,594.60x = 2,646,343.35
  5. Step 5: Solve for x
    x = 2,646,343.35/1,594.60
  6. Step 6: Final answer
    x = 1,659.57

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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.