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Finding the Fourth Proportional to 2,792.58, 3,853.59 and 1,533.39

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Solution

The fourth proportional to 2,792.58, 3,853.59 and 1,533.39 is: 2,115.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,792.58 : 3,853.59 = 1,533.39 : x
  2. Step 2: Convert to fraction form
    2,792.58/3,853.59 = 1,533.39/x
  3. Step 3: Cross multiply
    2,792.58x = 3,853.59 × 1,533.39
  4. Step 4: Simplify right side
    2,792.58x = 5,909,056.37
  5. Step 5: Solve for x
    x = 5,909,056.37/2,792.58
  6. Step 6: Final answer
    x = 2,115.98

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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.