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Finding the Fourth Proportional to 1,707.92, 2,563.91 and 1,437.38

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Solution

The fourth proportional to 1,707.92, 2,563.91 and 1,437.38 is: 2,157.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,707.92 : 2,563.91 = 1,437.38 : x
  2. Step 2: Convert to fraction form
    1,707.92/2,563.91 = 1,437.38/x
  3. Step 3: Cross multiply
    1,707.92x = 2,563.91 × 1,437.38
  4. Step 4: Simplify right side
    1,707.92x = 3,685,305.77
  5. Step 5: Solve for x
    x = 3,685,305.77/1,707.92
  6. Step 6: Final answer
    x = 2,157.77

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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.