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Finding the Fourth Proportional to 1,342.53, 2,019.56 and 1,152.45

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Solution

The fourth proportional to 1,342.53, 2,019.56 and 1,152.45 is: 1,733.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,342.53 : 2,019.56 = 1,152.45 : x
  2. Step 2: Convert to fraction form
    1,342.53/2,019.56 = 1,152.45/x
  3. Step 3: Cross multiply
    1,342.53x = 2,019.56 × 1,152.45
  4. Step 4: Simplify right side
    1,342.53x = 2,327,441.92
  5. Step 5: Solve for x
    x = 2,327,441.92/1,342.53
  6. Step 6: Final answer
    x = 1,733.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.