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Finding the Fourth Proportional to 1,847.23, 2,549.60 and 1,258

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Solution

The fourth proportional to 1,847.23, 2,549.60 and 1,258 is: 1,736.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,847.23 : 2,549.60 = 1,258 : x
  2. Step 2: Convert to fraction form
    1,847.23/2,549.60 = 1,258/x
  3. Step 3: Cross multiply
    1,847.23x = 2,549.60 × 1,258
  4. Step 4: Simplify right side
    1,847.23x = 3,207,390.51
  5. Step 5: Solve for x
    x = 3,207,390.51/1,847.23
  6. Step 6: Final answer
    x = 1,736.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.