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Finding the Fourth Proportional to 1,458.44, 1,994.84 and 1,435.76

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Solution

The fourth proportional to 1,458.44, 1,994.84 and 1,435.76 is: 1,963.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,458.44 : 1,994.84 = 1,435.76 : x
  2. Step 2: Convert to fraction form
    1,458.44/1,994.84 = 1,435.76/x
  3. Step 3: Cross multiply
    1,458.44x = 1,994.84 × 1,435.76
  4. Step 4: Simplify right side
    1,458.44x = 2,864,111.48
  5. Step 5: Solve for x
    x = 2,864,111.48/1,458.44
  6. Step 6: Final answer
    x = 1,963.82

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.