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Finding the Fourth Proportional to 2,527.37, 3,792.99 and 1,649.63

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Solution

The fourth proportional to 2,527.37, 3,792.99 and 1,649.63 is: 2,475.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,527.37 : 3,792.99 = 1,649.63 : x
  2. Step 2: Convert to fraction form
    2,527.37/3,792.99 = 1,649.63/x
  3. Step 3: Cross multiply
    2,527.37x = 3,792.99 × 1,649.63
  4. Step 4: Simplify right side
    2,527.37x = 6,257,045.76
  5. Step 5: Solve for x
    x = 6,257,045.76/2,527.37
  6. Step 6: Final answer
    x = 2,475.72

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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.