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Finding the Fourth Proportional to 2,518.41, 3,475.97 and 1,399.74

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Solution

The fourth proportional to 2,518.41, 3,475.97 and 1,399.74 is: 1,931.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,518.41 : 3,475.97 = 1,399.74 : x
  2. Step 2: Convert to fraction form
    2,518.41/3,475.97 = 1,399.74/x
  3. Step 3: Cross multiply
    2,518.41x = 3,475.97 × 1,399.74
  4. Step 4: Simplify right side
    2,518.41x = 4,865,454.25
  5. Step 5: Solve for x
    x = 4,865,454.25/2,518.41
  6. Step 6: Final answer
    x = 1,931.95

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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.