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Finding the Fourth Proportional to 1,646.94, 2,471.49 and 606.96

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Solution

The fourth proportional to 1,646.94, 2,471.49 and 606.96 is: 910.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,646.94 : 2,471.49 = 606.96 : x
  2. Step 2: Convert to fraction form
    1,646.94/2,471.49 = 606.96/x
  3. Step 3: Cross multiply
    1,646.94x = 2,471.49 × 606.96
  4. Step 4: Simplify right side
    1,646.94x = 1,500,095.57
  5. Step 5: Solve for x
    x = 1,500,095.57/1,646.94
  6. Step 6: Final answer
    x = 910.84

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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.