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Finding the Fourth Proportional to 1,624.51, 2,445.49 and 1,398.47

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Solution

The fourth proportional to 1,624.51, 2,445.49 and 1,398.47 is: 2,105.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,624.51 : 2,445.49 = 1,398.47 : x
  2. Step 2: Convert to fraction form
    1,624.51/2,445.49 = 1,398.47/x
  3. Step 3: Cross multiply
    1,624.51x = 2,445.49 × 1,398.47
  4. Step 4: Simplify right side
    1,624.51x = 3,419,933.92
  5. Step 5: Solve for x
    x = 3,419,933.92/1,624.51
  6. Step 6: Final answer
    x = 2,105.22

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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.