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Finding the Fourth Proportional to 1,458.02, 2,198.03 and 1,364.06

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Solution

The fourth proportional to 1,458.02, 2,198.03 and 1,364.06 is: 2,056.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,458.02 : 2,198.03 = 1,364.06 : x
  2. Step 2: Convert to fraction form
    1,458.02/2,198.03 = 1,364.06/x
  3. Step 3: Cross multiply
    1,458.02x = 2,198.03 × 1,364.06
  4. Step 4: Simplify right side
    1,458.02x = 2,998,244.80
  5. Step 5: Solve for x
    x = 2,998,244.80/1,458.02
  6. Step 6: Final answer
    x = 2,056.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.