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Finding the Fourth Proportional to 1,560.07, 2,152.91 and 851.92

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Solution

The fourth proportional to 1,560.07, 2,152.91 and 851.92 is: 1,175.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,560.07 : 2,152.91 = 851.92 : x
  2. Step 2: Convert to fraction form
    1,560.07/2,152.91 = 851.92/x
  3. Step 3: Cross multiply
    1,560.07x = 2,152.91 × 851.92
  4. Step 4: Simplify right side
    1,560.07x = 1,834,110.35
  5. Step 5: Solve for x
    x = 1,834,110.35/1,560.07
  6. Step 6: Final answer
    x = 1,175.66

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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.