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Finding the Fourth Proportional to 1,657.02, 2,285.90 and 1,191.54

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Solution

The fourth proportional to 1,657.02, 2,285.90 and 1,191.54 is: 1,643.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,657.02 : 2,285.90 = 1,191.54 : x
  2. Step 2: Convert to fraction form
    1,657.02/2,285.90 = 1,191.54/x
  3. Step 3: Cross multiply
    1,657.02x = 2,285.90 × 1,191.54
  4. Step 4: Simplify right side
    1,657.02x = 2,723,741.29
  5. Step 5: Solve for x
    x = 2,723,741.29/1,657.02
  6. Step 6: Final answer
    x = 1,643.76

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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.