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Finding the Fourth Proportional to 1,847.48, 2,549.94 and 1,258.25

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Solution

The fourth proportional to 1,847.48, 2,549.94 and 1,258.25 is: 1,736.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,847.48 : 2,549.94 = 1,258.25 : x
  2. Step 2: Convert to fraction form
    1,847.48/2,549.94 = 1,258.25/x
  3. Step 3: Cross multiply
    1,847.48x = 2,549.94 × 1,258.25
  4. Step 4: Simplify right side
    1,847.48x = 3,208,462.01
  5. Step 5: Solve for x
    x = 3,208,462.01/1,847.48
  6. Step 6: Final answer
    x = 1,736.67

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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.