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Finding the Fourth Proportional to 2,471.11, 3,405.65 and 2,400.03

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Solution

The fourth proportional to 2,471.11, 3,405.65 and 2,400.03 is: 3,307.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,471.11 : 3,405.65 = 2,400.03 : x
  2. Step 2: Convert to fraction form
    2,471.11/3,405.65 = 2,400.03/x
  3. Step 3: Cross multiply
    2,471.11x = 3,405.65 × 2,400.03
  4. Step 4: Simplify right side
    2,471.11x = 8,173,650.17
  5. Step 5: Solve for x
    x = 8,173,650.17/2,471.11
  6. Step 6: Final answer
    x = 3,307.69

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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.