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Finding the Fourth Proportional to 3,165.29, 4,366.28 and 1,905.47

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Solution

The fourth proportional to 3,165.29, 4,366.28 and 1,905.47 is: 2,628.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,165.29 : 4,366.28 = 1,905.47 : x
  2. Step 2: Convert to fraction form
    3,165.29/4,366.28 = 1,905.47/x
  3. Step 3: Cross multiply
    3,165.29x = 4,366.28 × 1,905.47
  4. Step 4: Simplify right side
    3,165.29x = 8,319,806.02
  5. Step 5: Solve for x
    x = 8,319,806.02/3,165.29
  6. Step 6: Final answer
    x = 2,628.45

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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.