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Finding the Fourth Proportional to 2,471.61, 3,411.41 and 1,477.34

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Solution

The fourth proportional to 2,471.61, 3,411.41 and 1,477.34 is: 2,039.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,471.61 : 3,411.41 = 1,477.34 : x
  2. Step 2: Convert to fraction form
    2,471.61/3,411.41 = 1,477.34/x
  3. Step 3: Cross multiply
    2,471.61x = 3,411.41 × 1,477.34
  4. Step 4: Simplify right side
    2,471.61x = 5,039,788.01
  5. Step 5: Solve for x
    x = 5,039,788.01/2,471.61
  6. Step 6: Final answer
    x = 2,039.07

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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.