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Finding the Fourth Proportional to 1,701.86, 2,552.58 and 547.61

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Solution

The fourth proportional to 1,701.86, 2,552.58 and 547.61 is: 821.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,701.86 : 2,552.58 = 547.61 : x
  2. Step 2: Convert to fraction form
    1,701.86/2,552.58 = 547.61/x
  3. Step 3: Cross multiply
    1,701.86x = 2,552.58 × 547.61
  4. Step 4: Simplify right side
    1,701.86x = 1,397,805.57
  5. Step 5: Solve for x
    x = 1,397,805.57/1,701.86
  6. Step 6: Final answer
    x = 821.34

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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.