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Finding the Fourth Proportional to 2,792.46, 4,188.68 and 712.46

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Solution

The fourth proportional to 2,792.46, 4,188.68 and 712.46 is: 1,068.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,792.46 : 4,188.68 = 712.46 : x
  2. Step 2: Convert to fraction form
    2,792.46/4,188.68 = 712.46/x
  3. Step 3: Cross multiply
    2,792.46x = 4,188.68 × 712.46
  4. Step 4: Simplify right side
    2,792.46x = 2,984,266.95
  5. Step 5: Solve for x
    x = 2,984,266.95/2,792.46
  6. Step 6: Final answer
    x = 1,068.69

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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.