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Finding the Fourth Proportional to 2,186.62, 3,280.41 and 647.74

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Solution

The fourth proportional to 2,186.62, 3,280.41 and 647.74 is: 971.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,186.62 : 3,280.41 = 647.74 : x
  2. Step 2: Convert to fraction form
    2,186.62/3,280.41 = 647.74/x
  3. Step 3: Cross multiply
    2,186.62x = 3,280.41 × 647.74
  4. Step 4: Simplify right side
    2,186.62x = 2,124,852.77
  5. Step 5: Solve for x
    x = 2,124,852.77/2,186.62
  6. Step 6: Final answer
    x = 971.75

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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.