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Finding the Fourth Proportional to 7,240, 10,860 and 1,768

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Solution

The fourth proportional to 7,240, 10,860 and 1,768 is: 2,652

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,240 : 10,860 = 1,768 : x
  2. Step 2: Convert to fraction form
    7,240/10,860 = 1,768/x
  3. Step 3: Cross multiply
    7,240x = 10,860 × 1,768
  4. Step 4: Simplify right side
    7,240x = 19,200,480
  5. Step 5: Solve for x
    x = 19,200,480/7,240
  6. Step 6: Final answer
    x = 2,652

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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.