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Finding the Fourth Proportional to 1,932.40, 2,664.72 and 1,512

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Solution

The fourth proportional to 1,932.40, 2,664.72 and 1,512 is: 2,085.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,932.40 : 2,664.72 = 1,512 : x
  2. Step 2: Convert to fraction form
    1,932.40/2,664.72 = 1,512/x
  3. Step 3: Cross multiply
    1,932.40x = 2,664.72 × 1,512
  4. Step 4: Simplify right side
    1,932.40x = 4,029,056.64
  5. Step 5: Solve for x
    x = 4,029,056.64/1,932.40
  6. Step 6: Final answer
    x = 2,085.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.