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Finding the Fourth Proportional to 1,596.48, 2,203.08 and 966.90

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Solution

The fourth proportional to 1,596.48, 2,203.08 and 966.90 is: 1,334.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,596.48 : 2,203.08 = 966.90 : x
  2. Step 2: Convert to fraction form
    1,596.48/2,203.08 = 966.90/x
  3. Step 3: Cross multiply
    1,596.48x = 2,203.08 × 966.90
  4. Step 4: Simplify right side
    1,596.48x = 2,130,158.05
  5. Step 5: Solve for x
    x = 2,130,158.05/1,596.48
  6. Step 6: Final answer
    x = 1,334.28

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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.