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Finding the Fourth Proportional to 3,602.96, 4,972.24 and 2,031.16

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Solution

The fourth proportional to 3,602.96, 4,972.24 and 2,031.16 is: 2,803.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,602.96 : 4,972.24 = 2,031.16 : x
  2. Step 2: Convert to fraction form
    3,602.96/4,972.24 = 2,031.16/x
  3. Step 3: Cross multiply
    3,602.96x = 4,972.24 × 2,031.16
  4. Step 4: Simplify right side
    3,602.96x = 10,099,415.00
  5. Step 5: Solve for x
    x = 10,099,415.00/3,602.96
  6. Step 6: Final answer
    x = 2,803.09

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1.5x scale

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.