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Finding the Fourth Proportional to 2,563.92, 3,538.33 and 1,429.67

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Solution

The fourth proportional to 2,563.92, 3,538.33 and 1,429.67 is: 1,973.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,563.92 : 3,538.33 = 1,429.67 : x
  2. Step 2: Convert to fraction form
    2,563.92/3,538.33 = 1,429.67/x
  3. Step 3: Cross multiply
    2,563.92x = 3,538.33 × 1,429.67
  4. Step 4: Simplify right side
    2,563.92x = 5,058,619.41
  5. Step 5: Solve for x
    x = 5,058,619.41/2,563.92
  6. Step 6: Final answer
    x = 1,973.00

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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.