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Finding the Fourth Proportional to 3,602.93, 4,971.95 and 2,031.02

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Solution

The fourth proportional to 3,602.93, 4,971.95 and 2,031.02 is: 2,802.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,602.93 : 4,971.95 = 2,031.02 : x
  2. Step 2: Convert to fraction form
    3,602.93/4,971.95 = 2,031.02/x
  3. Step 3: Cross multiply
    3,602.93x = 4,971.95 × 2,031.02
  4. Step 4: Simplify right side
    3,602.93x = 10,098,121.14
  5. Step 5: Solve for x
    x = 10,098,121.14/3,602.93
  6. Step 6: Final answer
    x = 2,802.76

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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.