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Finding the Fourth Proportional to 1,416.38, 1,953.81 and 885.62

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Solution

The fourth proportional to 1,416.38, 1,953.81 and 885.62 is: 1,221.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.38 : 1,953.81 = 885.62 : x
  2. Step 2: Convert to fraction form
    1,416.38/1,953.81 = 885.62/x
  3. Step 3: Cross multiply
    1,416.38x = 1,953.81 × 885.62
  4. Step 4: Simplify right side
    1,416.38x = 1,730,333.21
  5. Step 5: Solve for x
    x = 1,730,333.21/1,416.38
  6. Step 6: Final answer
    x = 1,221.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.