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Finding the Fourth Proportional to 1,792.18, 2,475.10 and 1,234.10

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Solution

The fourth proportional to 1,792.18, 2,475.10 and 1,234.10 is: 1,704.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,792.18 : 2,475.10 = 1,234.10 : x
  2. Step 2: Convert to fraction form
    1,792.18/2,475.10 = 1,234.10/x
  3. Step 3: Cross multiply
    1,792.18x = 2,475.10 × 1,234.10
  4. Step 4: Simplify right side
    1,792.18x = 3,054,520.91
  5. Step 5: Solve for x
    x = 3,054,520.91/1,792.18
  6. Step 6: Final answer
    x = 1,704.36

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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.