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Finding the Fourth Proportional to 2,725.16, 4,087.00 and 750.32

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Solution

The fourth proportional to 2,725.16, 4,087.00 and 750.32 is: 1,125.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,725.16 : 4,087.00 = 750.32 : x
  2. Step 2: Convert to fraction form
    2,725.16/4,087.00 = 750.32/x
  3. Step 3: Cross multiply
    2,725.16x = 4,087.00 × 750.32
  4. Step 4: Simplify right side
    2,725.16x = 3,066,535.53
  5. Step 5: Solve for x
    x = 3,066,535.53/2,725.16
  6. Step 6: Final answer
    x = 1,125.27

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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.