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Finding the Fourth Proportional to 2,461.74, 3,396.68 and 1,790.61

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Solution

The fourth proportional to 2,461.74, 3,396.68 and 1,790.61 is: 2,470.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,461.74 : 3,396.68 = 1,790.61 : x
  2. Step 2: Convert to fraction form
    2,461.74/3,396.68 = 1,790.61/x
  3. Step 3: Cross multiply
    2,461.74x = 3,396.68 × 1,790.61
  4. Step 4: Simplify right side
    2,461.74x = 6,082,124.27
  5. Step 5: Solve for x
    x = 6,082,124.27/2,461.74
  6. Step 6: Final answer
    x = 2,470.66

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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.