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Finding the Fourth Proportional to 2,472.34, 3,411.46 and 1,409.93

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Solution

The fourth proportional to 2,472.34, 3,411.46 and 1,409.93 is: 1,945.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,472.34 : 3,411.46 = 1,409.93 : x
  2. Step 2: Convert to fraction form
    2,472.34/3,411.46 = 1,409.93/x
  3. Step 3: Cross multiply
    2,472.34x = 3,411.46 × 1,409.93
  4. Step 4: Simplify right side
    2,472.34x = 4,809,930.36
  5. Step 5: Solve for x
    x = 4,809,930.36/2,472.34
  6. Step 6: Final answer
    x = 1,945.50

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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.