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Finding the Fourth Proportional to 2,168.16, 3,254.06 and 2,031.48

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Solution

The fourth proportional to 2,168.16, 3,254.06 and 2,031.48 is: 3,048.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,168.16 : 3,254.06 = 2,031.48 : x
  2. Step 2: Convert to fraction form
    2,168.16/3,254.06 = 2,031.48/x
  3. Step 3: Cross multiply
    2,168.16x = 3,254.06 × 2,031.48
  4. Step 4: Simplify right side
    2,168.16x = 6,610,557.81
  5. Step 5: Solve for x
    x = 6,610,557.81/2,168.16
  6. Step 6: Final answer
    x = 3,048.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.