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Finding the Fourth Proportional to 2,836.63, 3,913.18 and 1,657

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Solution

The fourth proportional to 2,836.63, 3,913.18 and 1,657 is: 2,285.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,836.63 : 3,913.18 = 1,657 : x
  2. Step 2: Convert to fraction form
    2,836.63/3,913.18 = 1,657/x
  3. Step 3: Cross multiply
    2,836.63x = 3,913.18 × 1,657
  4. Step 4: Simplify right side
    2,836.63x = 6,484,139.26
  5. Step 5: Solve for x
    x = 6,484,139.26/2,836.63
  6. Step 6: Final answer
    x = 2,285.86

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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.