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Finding the Fourth Proportional to 2,653, 3,660.86 and 1,533.84

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Solution

The fourth proportional to 2,653, 3,660.86 and 1,533.84 is: 2,116.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,653 : 3,660.86 = 1,533.84 : x
  2. Step 2: Convert to fraction form
    2,653/3,660.86 = 1,533.84/x
  3. Step 3: Cross multiply
    2,653x = 3,660.86 × 1,533.84
  4. Step 4: Simplify right side
    2,653x = 5,615,173.50
  5. Step 5: Solve for x
    x = 5,615,173.50/2,653
  6. Step 6: Final answer
    x = 2,116.54

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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.