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Finding the Fourth Proportional to 1,458.58, 2,179.33 and 1,407.54

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Solution

The fourth proportional to 1,458.58, 2,179.33 and 1,407.54 is: 2,103.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,458.58 : 2,179.33 = 1,407.54 : x
  2. Step 2: Convert to fraction form
    1,458.58/2,179.33 = 1,407.54/x
  3. Step 3: Cross multiply
    1,458.58x = 2,179.33 × 1,407.54
  4. Step 4: Simplify right side
    1,458.58x = 3,067,494.15
  5. Step 5: Solve for x
    x = 3,067,494.15/1,458.58
  6. Step 6: Final answer
    x = 2,103.07

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