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Finding the Fourth Proportional to 2,406.71, 3,319.08 and 1,520.98

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Solution

The fourth proportional to 2,406.71, 3,319.08 and 1,520.98 is: 2,097.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,406.71 : 3,319.08 = 1,520.98 : x
  2. Step 2: Convert to fraction form
    2,406.71/3,319.08 = 1,520.98/x
  3. Step 3: Cross multiply
    2,406.71x = 3,319.08 × 1,520.98
  4. Step 4: Simplify right side
    2,406.71x = 5,048,240.30
  5. Step 5: Solve for x
    x = 5,048,240.30/2,406.71
  6. Step 6: Final answer
    x = 2,097.57

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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.