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Finding the Fourth Proportional to 1,836.50, 2,532.13 and 1,599.57

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Solution

The fourth proportional to 1,836.50, 2,532.13 and 1,599.57 is: 2,205.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,836.50 : 2,532.13 = 1,599.57 : x
  2. Step 2: Convert to fraction form
    1,836.50/2,532.13 = 1,599.57/x
  3. Step 3: Cross multiply
    1,836.50x = 2,532.13 × 1,599.57
  4. Step 4: Simplify right side
    1,836.50x = 4,050,315.19
  5. Step 5: Solve for x
    x = 4,050,315.19/1,836.50
  6. Step 6: Final answer
    x = 2,205.46

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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.