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Finding the Fourth Proportional to 2,529.76, 3,792.36 and 1,069

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Solution

The fourth proportional to 2,529.76, 3,792.36 and 1,069 is: 1,602.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,529.76 : 3,792.36 = 1,069 : x
  2. Step 2: Convert to fraction form
    2,529.76/3,792.36 = 1,069/x
  3. Step 3: Cross multiply
    2,529.76x = 3,792.36 × 1,069
  4. Step 4: Simplify right side
    2,529.76x = 4,054,032.84
  5. Step 5: Solve for x
    x = 4,054,032.84/2,529.76
  6. Step 6: Final answer
    x = 1,602.54

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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.