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Finding the Fourth Proportional to 4,159.34, 6,238.90 and 1,237.67

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Solution

The fourth proportional to 4,159.34, 6,238.90 and 1,237.67 is: 1,856.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,159.34 : 6,238.90 = 1,237.67 : x
  2. Step 2: Convert to fraction form
    4,159.34/6,238.90 = 1,237.67/x
  3. Step 3: Cross multiply
    4,159.34x = 6,238.90 × 1,237.67
  4. Step 4: Simplify right side
    4,159.34x = 7,721,699.36
  5. Step 5: Solve for x
    x = 7,721,699.36/4,159.34
  6. Step 6: Final answer
    x = 1,856.47

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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.