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Finding the Fourth Proportional to 2,472.44, 3,411.63 and 1,410.35

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Solution

The fourth proportional to 2,472.44, 3,411.63 and 1,410.35 is: 1,946.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,472.44 : 3,411.63 = 1,410.35 : x
  2. Step 2: Convert to fraction form
    2,472.44/3,411.63 = 1,410.35/x
  3. Step 3: Cross multiply
    2,472.44x = 3,411.63 × 1,410.35
  4. Step 4: Simplify right side
    2,472.44x = 4,811,575.31
  5. Step 5: Solve for x
    x = 4,811,575.31/2,472.44
  6. Step 6: Final answer
    x = 1,946.09

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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.