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Finding the Fourth Proportional to 2,342.50, 3,232.64 and 1,502.94

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Solution

The fourth proportional to 2,342.50, 3,232.64 and 1,502.94 is: 2,074.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,342.50 : 3,232.64 = 1,502.94 : x
  2. Step 2: Convert to fraction form
    2,342.50/3,232.64 = 1,502.94/x
  3. Step 3: Cross multiply
    2,342.50x = 3,232.64 × 1,502.94
  4. Step 4: Simplify right side
    2,342.50x = 4,858,463.96
  5. Step 5: Solve for x
    x = 4,858,463.96/2,342.50
  6. Step 6: Final answer
    x = 2,074.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.