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Finding the Fourth Proportional to 1,664.04, 2,496.62 and 934.20

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Solution

The fourth proportional to 1,664.04, 2,496.62 and 934.20 is: 1,401.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,664.04 : 2,496.62 = 934.20 : x
  2. Step 2: Convert to fraction form
    1,664.04/2,496.62 = 934.20/x
  3. Step 3: Cross multiply
    1,664.04x = 2,496.62 × 934.20
  4. Step 4: Simplify right side
    1,664.04x = 2,332,342.40
  5. Step 5: Solve for x
    x = 2,332,342.40/1,664.04
  6. Step 6: Final answer
    x = 1,401.61

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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.