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Finding the Fourth Proportional to 2,465.60, 3,401.88 and 1,471.22

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Solution

The fourth proportional to 2,465.60, 3,401.88 and 1,471.22 is: 2,029.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,465.60 : 3,401.88 = 1,471.22 : x
  2. Step 2: Convert to fraction form
    2,465.60/3,401.88 = 1,471.22/x
  3. Step 3: Cross multiply
    2,465.60x = 3,401.88 × 1,471.22
  4. Step 4: Simplify right side
    2,465.60x = 5,004,913.89
  5. Step 5: Solve for x
    x = 5,004,913.89/2,465.60
  6. Step 6: Final answer
    x = 2,029.90

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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.