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Finding the Fourth Proportional to 1,406.84, 2,110.04 and 885.23

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Solution

The fourth proportional to 1,406.84, 2,110.04 and 885.23 is: 1,327.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.84 : 2,110.04 = 885.23 : x
  2. Step 2: Convert to fraction form
    1,406.84/2,110.04 = 885.23/x
  3. Step 3: Cross multiply
    1,406.84x = 2,110.04 × 885.23
  4. Step 4: Simplify right side
    1,406.84x = 1,867,855.73
  5. Step 5: Solve for x
    x = 1,867,855.73/1,406.84
  6. Step 6: Final answer
    x = 1,327.70

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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.