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Finding the Fourth Proportional to 2,601.52, 3,901.48 and 1,712.01

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Solution

The fourth proportional to 2,601.52, 3,901.48 and 1,712.01 is: 2,567.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,601.52 : 3,901.48 = 1,712.01 : x
  2. Step 2: Convert to fraction form
    2,601.52/3,901.48 = 1,712.01/x
  3. Step 3: Cross multiply
    2,601.52x = 3,901.48 × 1,712.01
  4. Step 4: Simplify right side
    2,601.52x = 6,679,383.13
  5. Step 5: Solve for x
    x = 6,679,383.13/2,601.52
  6. Step 6: Final answer
    x = 2,567.49

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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.