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Finding the Fourth Proportional to 2,670.41, 3,686.90 and 2,390.16

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Solution

The fourth proportional to 2,670.41, 3,686.90 and 2,390.16 is: 3,299.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,670.41 : 3,686.90 = 2,390.16 : x
  2. Step 2: Convert to fraction form
    2,670.41/3,686.90 = 2,390.16/x
  3. Step 3: Cross multiply
    2,670.41x = 3,686.90 × 2,390.16
  4. Step 4: Simplify right side
    2,670.41x = 8,812,280.90
  5. Step 5: Solve for x
    x = 8,812,280.90/2,670.41
  6. Step 6: Final answer
    x = 3,299.97

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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.