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Finding the Fourth Proportional to 2,124.52, 3,186.72 and 643.70

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Solution

The fourth proportional to 2,124.52, 3,186.72 and 643.70 is: 965.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,124.52 : 3,186.72 = 643.70 : x
  2. Step 2: Convert to fraction form
    2,124.52/3,186.72 = 643.70/x
  3. Step 3: Cross multiply
    2,124.52x = 3,186.72 × 643.70
  4. Step 4: Simplify right side
    2,124.52x = 2,051,291.66
  5. Step 5: Solve for x
    x = 2,051,291.66/2,124.52
  6. Step 6: Final answer
    x = 965.53

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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.