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Finding the Fourth Proportional to 1,973.79, 2,954.52 and 1,454.38

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Solution

The fourth proportional to 1,973.79, 2,954.52 and 1,454.38 is: 2,177.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,973.79 : 2,954.52 = 1,454.38 : x
  2. Step 2: Convert to fraction form
    1,973.79/2,954.52 = 1,454.38/x
  3. Step 3: Cross multiply
    1,973.79x = 2,954.52 × 1,454.38
  4. Step 4: Simplify right side
    1,973.79x = 4,296,994.80
  5. Step 5: Solve for x
    x = 4,296,994.80/1,973.79
  6. Step 6: Final answer
    x = 2,177.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.