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Finding the Fourth Proportional to 1,430.97, 1,973.06 and 1,181.89

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Solution

The fourth proportional to 1,430.97, 1,973.06 and 1,181.89 is: 1,629.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430.97 : 1,973.06 = 1,181.89 : x
  2. Step 2: Convert to fraction form
    1,430.97/1,973.06 = 1,181.89/x
  3. Step 3: Cross multiply
    1,430.97x = 1,973.06 × 1,181.89
  4. Step 4: Simplify right side
    1,430.97x = 2,331,940.87
  5. Step 5: Solve for x
    x = 2,331,940.87/1,430.97
  6. Step 6: Final answer
    x = 1,629.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.