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Finding the Fourth Proportional to 1,501.37, 2,071.92 and 911.55

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Solution

The fourth proportional to 1,501.37, 2,071.92 and 911.55 is: 1,257.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,501.37 : 2,071.92 = 911.55 : x
  2. Step 2: Convert to fraction form
    1,501.37/2,071.92 = 911.55/x
  3. Step 3: Cross multiply
    1,501.37x = 2,071.92 × 911.55
  4. Step 4: Simplify right side
    1,501.37x = 1,888,658.68
  5. Step 5: Solve for x
    x = 1,888,658.68/1,501.37
  6. Step 6: Final answer
    x = 1,257.96

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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.