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Finding the Fourth Proportional to 1,458.06, 2,187.70 and 635.92

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Solution

The fourth proportional to 1,458.06, 2,187.70 and 635.92 is: 954.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,458.06 : 2,187.70 = 635.92 : x
  2. Step 2: Convert to fraction form
    1,458.06/2,187.70 = 635.92/x
  3. Step 3: Cross multiply
    1,458.06x = 2,187.70 × 635.92
  4. Step 4: Simplify right side
    1,458.06x = 1,391,202.18
  5. Step 5: Solve for x
    x = 1,391,202.18/1,458.06
  6. Step 6: Final answer
    x = 954.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.