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Finding the Fourth Proportional to 1,512, 2,084.40 and 1,039.74

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Solution

The fourth proportional to 1,512, 2,084.40 and 1,039.74 is: 1,433.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,512 : 2,084.40 = 1,039.74 : x
  2. Step 2: Convert to fraction form
    1,512/2,084.40 = 1,039.74/x
  3. Step 3: Cross multiply
    1,512x = 2,084.40 × 1,039.74
  4. Step 4: Simplify right side
    1,512x = 2,167,234.06
  5. Step 5: Solve for x
    x = 2,167,234.06/1,512
  6. Step 6: Final answer
    x = 1,433.36

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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.