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Finding the Fourth Proportional to 2,602.52, 3,902.98 and 1,713.01

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Solution

The fourth proportional to 2,602.52, 3,902.98 and 1,713.01 is: 2,568.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,602.52 : 3,902.98 = 1,713.01 : x
  2. Step 2: Convert to fraction form
    2,602.52/3,902.98 = 1,713.01/x
  3. Step 3: Cross multiply
    2,602.52x = 3,902.98 × 1,713.01
  4. Step 4: Simplify right side
    2,602.52x = 6,685,843.77
  5. Step 5: Solve for x
    x = 6,685,843.77/2,602.52
  6. Step 6: Final answer
    x = 2,568.99

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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.