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Finding the Fourth Proportional to 1,667.32, 2,500.44 and 693.16

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Solution

The fourth proportional to 1,667.32, 2,500.44 and 693.16 is: 1,039.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,667.32 : 2,500.44 = 693.16 : x
  2. Step 2: Convert to fraction form
    1,667.32/2,500.44 = 693.16/x
  3. Step 3: Cross multiply
    1,667.32x = 2,500.44 × 693.16
  4. Step 4: Simplify right side
    1,667.32x = 1,733,204.99
  5. Step 5: Solve for x
    x = 1,733,204.99/1,667.32
  6. Step 6: Final answer
    x = 1,039.52

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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.