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Finding the Fourth Proportional to 1,688.32, 2,529.17 and 995.31

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Solution

The fourth proportional to 1,688.32, 2,529.17 and 995.31 is: 1,491.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,688.32 : 2,529.17 = 995.31 : x
  2. Step 2: Convert to fraction form
    1,688.32/2,529.17 = 995.31/x
  3. Step 3: Cross multiply
    1,688.32x = 2,529.17 × 995.31
  4. Step 4: Simplify right side
    1,688.32x = 2,517,319.66
  5. Step 5: Solve for x
    x = 2,517,319.66/1,688.32
  6. Step 6: Final answer
    x = 1,491.02

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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.