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Finding the Fourth Proportional to 2,532.81, 3,492.63 and 2,331.93

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Solution

The fourth proportional to 2,532.81, 3,492.63 and 2,331.93 is: 3,215.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,532.81 : 3,492.63 = 2,331.93 : x
  2. Step 2: Convert to fraction form
    2,532.81/3,492.63 = 2,331.93/x
  3. Step 3: Cross multiply
    2,532.81x = 3,492.63 × 2,331.93
  4. Step 4: Simplify right side
    2,532.81x = 8,144,568.68
  5. Step 5: Solve for x
    x = 8,144,568.68/2,532.81
  6. Step 6: Final answer
    x = 3,215.63

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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.