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Finding the Fourth Proportional to 2,656.50, 3,985.39 and 832.50

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Solution

The fourth proportional to 2,656.50, 3,985.39 and 832.50 is: 1,248.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,656.50 : 3,985.39 = 832.50 : x
  2. Step 2: Convert to fraction form
    2,656.50/3,985.39 = 832.50/x
  3. Step 3: Cross multiply
    2,656.50x = 3,985.39 × 832.50
  4. Step 4: Simplify right side
    2,656.50x = 3,317,837.18
  5. Step 5: Solve for x
    x = 3,317,837.18/2,656.50
  6. Step 6: Final answer
    x = 1,248.95

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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.