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Finding the Fourth Proportional to 1,596.48, 2,378.22 and 1,548.12

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Solution

The fourth proportional to 1,596.48, 2,378.22 and 1,548.12 is: 2,306.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,596.48 : 2,378.22 = 1,548.12 : x
  2. Step 2: Convert to fraction form
    1,596.48/2,378.22 = 1,548.12/x
  3. Step 3: Cross multiply
    1,596.48x = 2,378.22 × 1,548.12
  4. Step 4: Simplify right side
    1,596.48x = 3,681,769.95
  5. Step 5: Solve for x
    x = 3,681,769.95/1,596.48
  6. Step 6: Final answer
    x = 2,306.18

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.