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Finding the Fourth Proportional to 2,652.96, 3,661.25 and 1,533.95

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Solution

The fourth proportional to 2,652.96, 3,661.25 and 1,533.95 is: 2,116.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,652.96 : 3,661.25 = 1,533.95 : x
  2. Step 2: Convert to fraction form
    2,652.96/3,661.25 = 1,533.95/x
  3. Step 3: Cross multiply
    2,652.96x = 3,661.25 × 1,533.95
  4. Step 4: Simplify right side
    2,652.96x = 5,616,174.44
  5. Step 5: Solve for x
    x = 5,616,174.44/2,652.96
  6. Step 6: Final answer
    x = 2,116.95

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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.