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Finding the Fourth Proportional to 3,031.71, 4,540.98 and 1,858.17

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Solution

The fourth proportional to 3,031.71, 4,540.98 and 1,858.17 is: 2,783.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,031.71 : 4,540.98 = 1,858.17 : x
  2. Step 2: Convert to fraction form
    3,031.71/4,540.98 = 1,858.17/x
  3. Step 3: Cross multiply
    3,031.71x = 4,540.98 × 1,858.17
  4. Step 4: Simplify right side
    3,031.71x = 8,437,903.52
  5. Step 5: Solve for x
    x = 8,437,903.52/3,031.71
  6. Step 6: Final answer
    x = 2,783.22

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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.