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Finding the Fourth Proportional to 2,031.92, 2,803.02 and 1,442.72

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Solution

The fourth proportional to 2,031.92, 2,803.02 and 1,442.72 is: 1,990.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,031.92 : 2,803.02 = 1,442.72 : x
  2. Step 2: Convert to fraction form
    2,031.92/2,803.02 = 1,442.72/x
  3. Step 3: Cross multiply
    2,031.92x = 2,803.02 × 1,442.72
  4. Step 4: Simplify right side
    2,031.92x = 4,043,973.01
  5. Step 5: Solve for x
    x = 4,043,973.01/2,031.92
  6. Step 6: Final answer
    x = 1,990.22

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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.