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Finding the Fourth Proportional to 1,258.63, 1,873.83 and 1,252.54

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Solution

The fourth proportional to 1,258.63, 1,873.83 and 1,252.54 is: 1,864.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,258.63 : 1,873.83 = 1,252.54 : x
  2. Step 2: Convert to fraction form
    1,258.63/1,873.83 = 1,252.54/x
  3. Step 3: Cross multiply
    1,258.63x = 1,873.83 × 1,252.54
  4. Step 4: Simplify right side
    1,258.63x = 2,347,047.03
  5. Step 5: Solve for x
    x = 2,347,047.03/1,258.63
  6. Step 6: Final answer
    x = 1,864.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.