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Finding the Fourth Proportional to 1,258.01, 1,876.06 and 1,118.15

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Solution

The fourth proportional to 1,258.01, 1,876.06 and 1,118.15 is: 1,667.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,258.01 : 1,876.06 = 1,118.15 : x
  2. Step 2: Convert to fraction form
    1,258.01/1,876.06 = 1,118.15/x
  3. Step 3: Cross multiply
    1,258.01x = 1,876.06 × 1,118.15
  4. Step 4: Simplify right side
    1,258.01x = 2,097,716.49
  5. Step 5: Solve for x
    x = 2,097,716.49/1,258.01
  6. Step 6: Final answer
    x = 1,667.49

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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.