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Finding the Fourth Proportional to 3,031.96, 4,548.76 and 1,734.36

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Solution

The fourth proportional to 3,031.96, 4,548.76 and 1,734.36 is: 2,602.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,031.96 : 4,548.76 = 1,734.36 : x
  2. Step 2: Convert to fraction form
    3,031.96/4,548.76 = 1,734.36/x
  3. Step 3: Cross multiply
    3,031.96x = 4,548.76 × 1,734.36
  4. Step 4: Simplify right side
    3,031.96x = 7,889,187.39
  5. Step 5: Solve for x
    x = 7,889,187.39/3,031.96
  6. Step 6: Final answer
    x = 2,602.01

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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.