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Finding the Fourth Proportional to 2,602.87, 3,592.15 and 1,717.14

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Solution

The fourth proportional to 2,602.87, 3,592.15 and 1,717.14 is: 2,369.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,602.87 : 3,592.15 = 1,717.14 : x
  2. Step 2: Convert to fraction form
    2,602.87/3,592.15 = 1,717.14/x
  3. Step 3: Cross multiply
    2,602.87x = 3,592.15 × 1,717.14
  4. Step 4: Simplify right side
    2,602.87x = 6,168,208.37
  5. Step 5: Solve for x
    x = 6,168,208.37/2,602.87
  6. Step 6: Final answer
    x = 2,369.77

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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.