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Finding the Fourth Proportional to 2,471.91, 3,410.53 and 1,477.43

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Solution

The fourth proportional to 2,471.91, 3,410.53 and 1,477.43 is: 2,038.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,471.91 : 3,410.53 = 1,477.43 : x
  2. Step 2: Convert to fraction form
    2,471.91/3,410.53 = 1,477.43/x
  3. Step 3: Cross multiply
    2,471.91x = 3,410.53 × 1,477.43
  4. Step 4: Simplify right side
    2,471.91x = 5,038,819.34
  5. Step 5: Solve for x
    x = 5,038,819.34/2,471.91
  6. Step 6: Final answer
    x = 2,038.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.