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Finding the Fourth Proportional to 1,646.79, 2,270.87 and 1,411.56

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Solution

The fourth proportional to 1,646.79, 2,270.87 and 1,411.56 is: 1,946.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,646.79 : 2,270.87 = 1,411.56 : x
  2. Step 2: Convert to fraction form
    1,646.79/2,270.87 = 1,411.56/x
  3. Step 3: Cross multiply
    1,646.79x = 2,270.87 × 1,411.56
  4. Step 4: Simplify right side
    1,646.79x = 3,205,450.85
  5. Step 5: Solve for x
    x = 3,205,450.85/1,646.79
  6. Step 6: Final answer
    x = 1,946.48

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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.