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Finding the Fourth Proportional to 1,609.94, 2,411.40 and 959.24

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Solution

The fourth proportional to 1,609.94, 2,411.40 and 959.24 is: 1,436.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609.94 : 2,411.40 = 959.24 : x
  2. Step 2: Convert to fraction form
    1,609.94/2,411.40 = 959.24/x
  3. Step 3: Cross multiply
    1,609.94x = 2,411.40 × 959.24
  4. Step 4: Simplify right side
    1,609.94x = 2,313,111.34
  5. Step 5: Solve for x
    x = 2,313,111.34/1,609.94
  6. Step 6: Final answer
    x = 1,436.77

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