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Finding the Fourth Proportional to 2,258.42, 3,116.42 and 1,313.90

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Solution

The fourth proportional to 2,258.42, 3,116.42 and 1,313.90 is: 1,813.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,258.42 : 3,116.42 = 1,313.90 : x
  2. Step 2: Convert to fraction form
    2,258.42/3,116.42 = 1,313.90/x
  3. Step 3: Cross multiply
    2,258.42x = 3,116.42 × 1,313.90
  4. Step 4: Simplify right side
    2,258.42x = 4,094,664.24
  5. Step 5: Solve for x
    x = 4,094,664.24/2,258.42
  6. Step 6: Final answer
    x = 1,813.07

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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.