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Finding the Fourth Proportional to 3,602.57, 4,971.52 and 2,031.17

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Solution

The fourth proportional to 3,602.57, 4,971.52 and 2,031.17 is: 2,803.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,602.57 : 4,971.52 = 2,031.17 : x
  2. Step 2: Convert to fraction form
    3,602.57/4,971.52 = 2,031.17/x
  3. Step 3: Cross multiply
    3,602.57x = 4,971.52 × 2,031.17
  4. Step 4: Simplify right side
    3,602.57x = 10,098,002.28
  5. Step 5: Solve for x
    x = 10,098,002.28/3,602.57
  6. Step 6: Final answer
    x = 2,803.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.