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Finding the Fourth Proportional to 1,596.21, 2,200.08 and 1,280.88

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Solution

The fourth proportional to 1,596.21, 2,200.08 and 1,280.88 is: 1,765.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,596.21 : 2,200.08 = 1,280.88 : x
  2. Step 2: Convert to fraction form
    1,596.21/2,200.08 = 1,280.88/x
  3. Step 3: Cross multiply
    1,596.21x = 2,200.08 × 1,280.88
  4. Step 4: Simplify right side
    1,596.21x = 2,818,038.47
  5. Step 5: Solve for x
    x = 2,818,038.47/1,596.21
  6. Step 6: Final answer
    x = 1,765.46

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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.