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Finding the Fourth Proportional to 3,602.77, 4,971.53 and 2,031.25

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Solution

The fourth proportional to 3,602.77, 4,971.53 and 2,031.25 is: 2,802.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,602.77 : 4,971.53 = 2,031.25 : x
  2. Step 2: Convert to fraction form
    3,602.77/4,971.53 = 2,031.25/x
  3. Step 3: Cross multiply
    3,602.77x = 4,971.53 × 2,031.25
  4. Step 4: Simplify right side
    3,602.77x = 10,098,410.16
  5. Step 5: Solve for x
    x = 10,098,410.16/3,602.77
  6. Step 6: Final answer
    x = 2,802.96

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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.