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Finding the Fourth Proportional to 1,801.91, 2,702.72 and 631.82

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Solution

The fourth proportional to 1,801.91, 2,702.72 and 631.82 is: 947.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,801.91 : 2,702.72 = 631.82 : x
  2. Step 2: Convert to fraction form
    1,801.91/2,702.72 = 631.82/x
  3. Step 3: Cross multiply
    1,801.91x = 2,702.72 × 631.82
  4. Step 4: Simplify right side
    1,801.91x = 1,707,615.88
  5. Step 5: Solve for x
    x = 1,707,615.88/1,801.91
  6. Step 6: Final answer
    x = 947.67

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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.