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Finding the Fourth Proportional to 1,824.64, 2,735.13 and 712.53

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Solution

The fourth proportional to 1,824.64, 2,735.13 and 712.53 is: 1,068.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,824.64 : 2,735.13 = 712.53 : x
  2. Step 2: Convert to fraction form
    1,824.64/2,735.13 = 712.53/x
  3. Step 3: Cross multiply
    1,824.64x = 2,735.13 × 712.53
  4. Step 4: Simplify right side
    1,824.64x = 1,948,850.31
  5. Step 5: Solve for x
    x = 1,948,850.31/1,824.64
  6. Step 6: Final answer
    x = 1,068.07

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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.