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Finding the Fourth Proportional to 1,596.45, 2,202.13 and 1,123.51

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Solution

The fourth proportional to 1,596.45, 2,202.13 and 1,123.51 is: 1,549.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,596.45 : 2,202.13 = 1,123.51 : x
  2. Step 2: Convert to fraction form
    1,596.45/2,202.13 = 1,123.51/x
  3. Step 3: Cross multiply
    1,596.45x = 2,202.13 × 1,123.51
  4. Step 4: Simplify right side
    1,596.45x = 2,474,109.46
  5. Step 5: Solve for x
    x = 2,474,109.46/1,596.45
  6. Step 6: Final answer
    x = 1,549.76

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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.