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Finding the Fourth Proportional to 1,592.49, 2,397.06 and 1,441.56

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Solution

The fourth proportional to 1,592.49, 2,397.06 and 1,441.56 is: 2,169.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,592.49 : 2,397.06 = 1,441.56 : x
  2. Step 2: Convert to fraction form
    1,592.49/2,397.06 = 1,441.56/x
  3. Step 3: Cross multiply
    1,592.49x = 2,397.06 × 1,441.56
  4. Step 4: Simplify right side
    1,592.49x = 3,455,505.81
  5. Step 5: Solve for x
    x = 3,455,505.81/1,592.49
  6. Step 6: Final answer
    x = 2,169.88

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.