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Finding the Fourth Proportional to 1,433.59, 2,148.53 and 1,238.58

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Solution

The fourth proportional to 1,433.59, 2,148.53 and 1,238.58 is: 1,856.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,433.59 : 2,148.53 = 1,238.58 : x
  2. Step 2: Convert to fraction form
    1,433.59/2,148.53 = 1,238.58/x
  3. Step 3: Cross multiply
    1,433.59x = 2,148.53 × 1,238.58
  4. Step 4: Simplify right side
    1,433.59x = 2,661,129.38
  5. Step 5: Solve for x
    x = 2,661,129.38/1,433.59
  6. Step 6: Final answer
    x = 1,856.27

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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.