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Finding the Fourth Proportional to 1,792.41, 2,688.80 and 493.88

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Solution

The fourth proportional to 1,792.41, 2,688.80 and 493.88 is: 740.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,792.41 : 2,688.80 = 493.88 : x
  2. Step 2: Convert to fraction form
    1,792.41/2,688.80 = 493.88/x
  3. Step 3: Cross multiply
    1,792.41x = 2,688.80 × 493.88
  4. Step 4: Simplify right side
    1,792.41x = 1,327,928.63
  5. Step 5: Solve for x
    x = 1,327,928.63/1,792.41
  6. Step 6: Final answer
    x = 740.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.