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Finding the Fourth Proportional to 3,165.68, 4,367.95 and 1,838.70

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Solution

The fourth proportional to 3,165.68, 4,367.95 and 1,838.70 is: 2,537.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,165.68 : 4,367.95 = 1,838.70 : x
  2. Step 2: Convert to fraction form
    3,165.68/4,367.95 = 1,838.70/x
  3. Step 3: Cross multiply
    3,165.68x = 4,367.95 × 1,838.70
  4. Step 4: Simplify right side
    3,165.68x = 8,031,345.07
  5. Step 5: Solve for x
    x = 8,031,345.07/3,165.68
  6. Step 6: Final answer
    x = 2,537.00

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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.