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Finding the Fourth Proportional to 1,605.71, 2,406.63 and 910.94

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Solution

The fourth proportional to 1,605.71, 2,406.63 and 910.94 is: 1,365.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605.71 : 2,406.63 = 910.94 : x
  2. Step 2: Convert to fraction form
    1,605.71/2,406.63 = 910.94/x
  3. Step 3: Cross multiply
    1,605.71x = 2,406.63 × 910.94
  4. Step 4: Simplify right side
    1,605.71x = 2,192,295.53
  5. Step 5: Solve for x
    x = 2,192,295.53/1,605.71
  6. Step 6: Final answer
    x = 1,365.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.