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Finding the Fourth Proportional to 1,516.04, 2,092.04 and 852.91

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Solution

The fourth proportional to 1,516.04, 2,092.04 and 852.91 is: 1,176.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,516.04 : 2,092.04 = 852.91 : x
  2. Step 2: Convert to fraction form
    1,516.04/2,092.04 = 852.91/x
  3. Step 3: Cross multiply
    1,516.04x = 2,092.04 × 852.91
  4. Step 4: Simplify right side
    1,516.04x = 1,784,312.34
  5. Step 5: Solve for x
    x = 1,784,312.34/1,516.04
  6. Step 6: Final answer
    x = 1,176.96

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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.