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Finding the Fourth Proportional to 2,333.68, 3,497.55 and 1,238.56

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Solution

The fourth proportional to 2,333.68, 3,497.55 and 1,238.56 is: 1,856.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,333.68 : 3,497.55 = 1,238.56 : x
  2. Step 2: Convert to fraction form
    2,333.68/3,497.55 = 1,238.56/x
  3. Step 3: Cross multiply
    2,333.68x = 3,497.55 × 1,238.56
  4. Step 4: Simplify right side
    2,333.68x = 4,331,925.53
  5. Step 5: Solve for x
    x = 4,331,925.53/2,333.68
  6. Step 6: Final answer
    x = 1,856.26

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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.